How to find the perimeter of square

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ISEE Middle Level Quantitative Reasoning › How to find the perimeter of square

Questions 1 - 10

The perimeter of a square is 56in. Find the length of one side.

$14\text{in}$

$13\text{in}$

$18\text{in}$

$28\text{in}$

$24\text{in}$

Explanation

To find the perimeter of a square, we use this formula

where a is the length of one side. A square has 4 equal sides. That is why we multiply the length of one side by 4. To find the length of one side, we will solve for a.

Now, we know the perimeter of the square is 56in. So, we can substitute. We get

$56\text{in} =4a$

$\frac{56\text{in}}{4} = \frac{4a}{4}$

$14\text{in} = a$

$a=14\text{in}$

Therefore, the length of one side of the square is 14in.

A square stamp has an edge length of 6 centimeters, what is its perimeter?

Explanation

A square stamp has an edge length of 6 centimeters, what is its perimeter?

To find the perimeter of a square, we simply can multiply the edge length by 4.

Doing so yields:

$P_{square}=6cm*4=24cm$

Find the perimeter of a square that has a length of 13in.

$52\text{in}$

$26\text{in}$

$169\text{in}$

$125\text{in}$

$39\text{in}$

Explanation

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 13in. Because it is a square, all sides are equal. Therefore, all sides are 13in.

Knowing this, we can substitute into the formula. We get

$P = 13\text{in} +13\text{in} +13\text{in} +13\text{in}$

$P = 52\text{in}$

Use the following image to answer the question:

Square3

Find the perimeter of the square.

$32\text{cm}$

$64\text{cm}$

$16\text{cm}$

$24\text{cm}$

$\text{There is not enough information to solve the problem.}$

Explanation

To find the perimeter of a square, we will use the following formula:

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, let's look at the given square.

Square3

We can see that one side is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of square} = 8\text{cm} + 8\text{cm} + 8\text{cm} + 8\text{cm}$

$\text{perimeter of square} = 32\text{cm}$

Find the perimeter of a square with a width of 9in.

$36\text{in}$

$32\text{in}$

$54\text{in}$

$49\text{in}$

$28\text{in}$

Explanation

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the width of the square is 9in. Because it is a square, all sides are equal. Therefore, all sides are 9in. So, we can substitute.

$P = 9\text{in} + 9\text{in} + 9\text{in} + 9\text{in}$

$P = 36\text{in}$

A city block is a perfect square with sides of $\frac{1}{2}mile$ .

What is the perimeter of the city block?

$1\frac{1}{2}mi^2$

Explanation

A city block is a perfect square with sides of $\frac{1}{2}mile$ .

What is the perimeter of the city block?

To find the perimeter of a square, simply multiply the side length by 4:

$A=4*\frac{1}{2}mi=\frac{4}{2}mi=2mi$

So our answer is 2 miles

Find the perimeter of a square with a length of 7in.

$28\text{in}$

$49\text{in}$

$14\text{in}$

$21\text{in}$

$32\text{in}$

Explanation

To find the perimeter of a square, we will use the following formula:

$\text{perimeter of square} =a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 7in. Because it is a square, we know all sides are equal. Therefore, all sides are 7in.

Knowing all of this, we can substitute into the formula. We get

$\text{perimeter of square} = 7\text{in} +7\text{in} +7\text{in} +7\text{in}$

$\text{perimeter of square} = 28\text{in}$

Find the perimeter of a square that has a base of length 9 inches.

$36\text{in}$

$36\text{in}^2$

$81\text{in}$

$81\text{in}^2$

$54\text{in}$

Explanation

To find the perimeter of a square, we will use the following formula:

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of each side of the square.

Now, we know the base has a length of 9 inches. Because it is a square, we know that all sides are equal. Therefore, all sides are 9 inches. Knowing this, we can substitute into the formula. We get

$\text{perimeter of square} = 9\text{in} +9\text{in} +9\text{in} +9\text{in}$

$\text{perimeter of square} = 36\text{in}$

Find the perimeter of a square with a length of 9cm.

$36\text{cm}$

$81\text{cm}$

$18\text{cm}$

$27\text{cm}$

$\text{There is not enough information to solve the problem.}$

Explanation

To find the perimeter of a square, we will use the following formula:

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 9cm. Because it is a square, all of the sides are equal. Therefore, all sides are 9cm.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of square} = 9\text{cm} + 9\text{cm} + 9\text{cm} + 9\text{cm}$

$\text{perimeter of square} = 36\text{cm}$

Find the perimeter of a square with a width of 19in.

$76\text{in}$

$84\text{in}$

$62\text{in}$

$38\text{in}$

$56\text{in}$

Explanation

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the width of the square is 19in. Because it is a square, all sides are equal. Therefore, all sides are 19in. Knowing this, we can substitute into the formula. We get

$P = 19\text{in} +19\text{in} +19\text{in} +19\text{in}$

$P = 76\text{in}$

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