How to find the length of the side of a hexagon - ISEE Upper Level Quantitative Reasoning

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Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

Answer

One mile is equal to 5,280 feet, so divide this by 6:

$5,280 \div 6 = 880$ feet

Compare your answer with the correct one above

Question

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

Answer

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

$16 \div 6 = 2\frac{2}{3} \textrm{ ft }$

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

Compare your answer with the correct one above

Question

The perimeter of a hexagon is 96cm. Find the length of one side.

Answer

A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.

where a is the length of one side. So, we will solve for a.

Now, we know the perimeter of the hexagon is 96cm. So, we get

$96\text{cm} = 6a$

$\frac{96\text{cm}}{6} = \frac{6a}{6}$

$16\text{cm} = a$

$a = 16\text{cm}$

Therefore, the length of one side of the hexagon is 16cm.

Compare your answer with the correct one above

Question

A hexagon has a perimeter of 114in. Find the length of one side.

Answer

A hexagon has 6 equal sides. The formula to find perimeter of a hexagon is:

where a is the length of any side. Now, to find the length of one side, we will solve for a.

We know the perimeter of the hexagon is 114in. So, we will substitute and solve for a. We get

$114\text{in} = 6a$

$\frac{114\text{in}}{6} = \frac{6a}{6}$

$19\text{in} = a$

$a = 19\text{in}$

Therefore, the length of one side of the hexagon is 19in.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

Answer

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

$16 \div 6 = 2\frac{2}{3} \textrm{ ft }$

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

Compare your answer with the correct one above

Question

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

Answer

One mile is equal to 5,280 feet, so divide this by 6:

$5,280 \div 6 = 880$ feet

Compare your answer with the correct one above

Question

The perimeter of a hexagon is 96cm. Find the length of one side.

Answer

A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.

where a is the length of one side. So, we will solve for a.

Now, we know the perimeter of the hexagon is 96cm. So, we get

$96\text{cm} = 6a$

$\frac{96\text{cm}}{6} = \frac{6a}{6}$

$16\text{cm} = a$

$a = 16\text{cm}$

Therefore, the length of one side of the hexagon is 16cm.

Compare your answer with the correct one above

Question

A hexagon has a perimeter of 114in. Find the length of one side.

Answer

A hexagon has 6 equal sides. The formula to find perimeter of a hexagon is:

where a is the length of any side. Now, to find the length of one side, we will solve for a.

We know the perimeter of the hexagon is 114in. So, we will substitute and solve for a. We get

$114\text{in} = 6a$

$\frac{114\text{in}}{6} = \frac{6a}{6}$

$19\text{in} = a$

$a = 19\text{in}$

Therefore, the length of one side of the hexagon is 19in.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

Answer

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

$16 \div 6 = 2\frac{2}{3} \textrm{ ft }$

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

Compare your answer with the correct one above

Question

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

Answer

One mile is equal to 5,280 feet, so divide this by 6:

$5,280 \div 6 = 880$ feet

Compare your answer with the correct one above

Question

The perimeter of a hexagon is 96cm. Find the length of one side.

Answer

A hexagon has 6 equal sides. To find the length of one side of a hexagon, we will use the formula to find the perimeter.

where a is the length of one side. So, we will solve for a.

Now, we know the perimeter of the hexagon is 96cm. So, we get

$96\text{cm} = 6a$

$\frac{96\text{cm}}{6} = \frac{6a}{6}$

$16\text{cm} = a$

$a = 16\text{cm}$

Therefore, the length of one side of the hexagon is 16cm.

Compare your answer with the correct one above

Question

A hexagon has a perimeter of 114in. Find the length of one side.

Answer

A hexagon has 6 equal sides. The formula to find perimeter of a hexagon is:

where a is the length of any side. Now, to find the length of one side, we will solve for a.

We know the perimeter of the hexagon is 114in. So, we will substitute and solve for a. We get

$114\text{in} = 6a$

$\frac{114\text{in}}{6} = \frac{6a}{6}$

$19\text{in} = a$

$a = 19\text{in}$

Therefore, the length of one side of the hexagon is 19in.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

Question

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

Answer

By the Pythagorean Theorem, the hypotenuse of the right triangle is

$\sqrt{14^{2}+48^{2}} = \sqrt{196+2,304} = \sqrt{2,500} = 50$ inches, making its perimeter

inches.

The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures

$112 \div 6 = 18 \frac{2}{3}$ inches.

Compare your answer with the correct one above

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How to find the length of the side of a hexagon - ISEE Upper Level Quantitative Reasoning

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

One mile is equal to 5,280 feet, so divide this by 6: feet

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet: Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

The perimeter of a hexagon is 96cm. Find the length of one side.

A hexagon has a perimeter of 114in. Find the length of one side.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet: Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

One mile is equal to 5,280 feet, so divide this by 6: feet

The perimeter of a hexagon is 96cm. Find the length of one side.

A hexagon has a perimeter of 114in. Find the length of one side.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

What is the sidelength, in feet and inches, of a regular hexagon with perimeter 16 feet?

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet: Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

The perimeter of a regular hexagon is one mile. Give the sidelength in feet.

One mile is equal to 5,280 feet, so divide this by 6: feet

The perimeter of a hexagon is 96cm. Find the length of one side.

A hexagon has a perimeter of 114in. Find the length of one side.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

A regular hexagon has the same perimeter as the above right triangle. What is the length of one side of the hexagon?

By the Pythagorean Theorem, the hypotenuse of the right triangle is inches, making its perimeter inches. The regular hexagon, which has six sides of equal length, has the same perimeter, so each side measures inches.

One mile is equal to 5,280 feet, so divide this by 6:

$5,280 \div 6 = 880$ feet

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

$16 \div 6 = 2\frac{2}{3} \textrm{ ft }$

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

$16 \div 6 = 2\frac{2}{3} \textrm{ ft }$

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

One mile is equal to 5,280 feet, so divide this by 6:

$5,280 \div 6 = 880$ feet

Divide the perimeter 16 feet by 6 to get the sidelength of the hexagon in feet:

$16 \div 6 = 2\frac{2}{3} \textrm{ ft }$

Two-thirds of a foot is equal to eight inches, so this sidelength is 2 feet 8 inches.

One mile is equal to 5,280 feet, so divide this by 6:

$5,280 \div 6 = 880$ feet