How to find the area of a hexagon - SSAT Upper Level Quantitative

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Question

Find the area of a regular hexagon that has side lengths of .

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Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 36$

$$\text{Area}$=\frac{108\sqrt3}{2}$=54\sqrt3$

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Question

Find the area of a regular hexagon that has a side length of .

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Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $8^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 64$

$$\text{Area}$=\frac{192\sqrt3}{2}$=96\sqrt3$

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Question

Find the area of a regular hexagon that has a side length of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $12^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 144$

$$\text{Area}$=\frac{432\sqrt3}{2}$=216\sqrt3$

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Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $7^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 49$

$$\text{Area}$=\frac{147}{2}$\sqrt3$

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Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $10^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 100$

$$\text{Area}$=\frac{300\sqrt3}{2}$=150\sqrt3$

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Question

Find the area of a regular hexagon with side lengths .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $20^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 400$

$$\text{Area}$=\frac{1200\sqrt3}{2}$=600\sqrt3$

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Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $x^2$

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Question

Find the area of a regular hexagon with side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $(2t)^2$

$\text{Area}$=\frac{3\sqrt3}{2}$\times $4t^2$

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Question

Find the area of a regular hexagon with side lengths of .

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Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $(3m)^2$

$\text{Area}$=\frac{3\sqrt3}{2}$\times $9m^2$

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Question

Find the area of a regular hexagon with side lengths of $\frac{1}{2}$ .

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Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $\left($\frac{1}{2}\right)^2$

$\text{Area}$=\frac{3\sqrt3}{2}$\times $\frac{1}{4}$

$\text{Area}$=\frac{3\sqrt3}{8}$

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Question

Find the area of a regular hexagon with side lengths of .

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Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $(8n)^2$

$\text{Area}$=\frac{3\sqrt3}{2}$\times $64n^2$

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Question

Find the area of a regular hexagon with side lengths .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $(12c)^2$

$\text{Area}$=\frac{3\sqrt3}{2}$\times $144c^2$

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Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 36$

$$\text{Area}$=\frac{108\sqrt3}{2}$=54\sqrt3$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon that has a side length of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $8^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 64$

$$\text{Area}$=\frac{192\sqrt3}{2}$=96\sqrt3$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon that has a side length of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $12^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 144$

$$\text{Area}$=\frac{432\sqrt3}{2}$=216\sqrt3$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $7^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 49$

$$\text{Area}$=\frac{147}{2}$\sqrt3$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $10^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 100$

$$\text{Area}$=\frac{300\sqrt3}{2}$=150\sqrt3$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon with side lengths .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $20^2$

$$\text{Area}$=\frac{3\sqrt3}{2}$\times 400$

$$\text{Area}$=\frac{1200\sqrt3}{2}$=600\sqrt3$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon that has side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $x^2$

← Didn't Know|Knew It →

Question

Find the area of a regular hexagon with side lengths of .

Tap to reveal answer

Answer

Use the following formula to find the area of a regular hexagon:

$\text{Area}$=\frac{3\sqrt3}{2}$\times $$\text{side}$^2$ .

Now, substitute in the length of the side into this equation.

$\text{Area}$=\frac{3\sqrt3}{2}$\times $(2t)^2$

$\text{Area}$=\frac{3\sqrt3}{2}$\times $4t^2$

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