How to find the perimeter of a square Flashcards - ACT Math

Question

The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?

Answer

Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.

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Question

A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?

Answer

By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.

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Question

The area of a square is $25 cm^{2}$ . If the square is enlarged by a factor of 2, what is the perimeter of the new square?

Answer

The area of a square is given by $A = s^{2}$ so we know the side is 5 cm. Enlarging by a factor of two makes the new side 10 cm. The perimeter is given by , so the perimeter of the new square is 40 cm.

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Question

The area of the shaded region of a square is 18. What is the perimeter of the square?

Answer

The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.

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Question

What is the perimeter of a square with an area of ?

Answer

1. Find the side lengths:

$Area= (side)^{2}$

$36=(side)^{2}$

2. Use the side lengths to find the perimeter:

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Question

Find the perimeter of a square whose area is .

Answer

To solve, you must first find the side length.

$s=\sqrt{A}=\sqrt{16}=4$

Then, you must multiply the side length by 4 since there are 4 sides. Thus,

In this case, volume and perimeter were the same numerical value, but this won't always be the case.

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Question

Find the perimeter of a square with side length .

Answer

To find perimeter, simply multiply side length by . Thus,

$P=1\cdot 4=4$

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Question

The area of a square is $64\textup{ in}^2$ , what is the perimeter of the square?

Answer

Since the sides of a square are all the same, the area of a square can be found by $\textup{side}*\textup{side}=64\textup{in}^2.$ Therefore, the side of the square must be $8\textup{in}.$ The perimeter of a square can be found by adding up all of the four sides: $\textup{8in+8in+8in+8in=32in.}$

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How to find the perimeter of a square - ACT Math

The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?

Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.

A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?

By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.

The area of a square is . If the square is enlarged by a factor of 2, what is the perimeter of the new square?

The area of a square is given by so we know the side is 5 cm. Enlarging by a factor of two makes the new side 10 cm. The perimeter is given by , so the perimeter of the new square is 40 cm.

The area of the shaded region of a square is 18. What is the perimeter of the square?

What is the perimeter of a square with an area of ?

1. Find the side lengths: 2. Use the side lengths to find the perimeter:

Find the perimeter of a square whose area is .

To solve, you must first find the side length. Then, you must multiply the side length by 4 since there are 4 sides. Thus, In this case, volume and perimeter were the same numerical value, but this won't always be the case.

Find the perimeter of a square with side length .

To find perimeter, simply multiply side length by . Thus,

The area of a square is , what is the perimeter of the square?

Since the sides of a square are all the same, the area of a square can be found by Therefore, the side of the square must be The perimeter of a square can be found by adding up all of the four sides:

The area of a square is $25 cm^{2}$ . If the square is enlarged by a factor of 2, what is the perimeter of the new square?

The area of a square is given by $A = s^{2}$ so we know the side is 5 cm. Enlarging by a factor of two makes the new side 10 cm. The perimeter is given by , so the perimeter of the new square is 40 cm.

1. Find the side lengths:

$Area= (side)^{2}$

$36=(side)^{2}$

2. Use the side lengths to find the perimeter:

To solve, you must first find the side length.

$s=\sqrt{A}=\sqrt{16}=4$

Then, you must multiply the side length by 4 since there are 4 sides. Thus,

In this case, volume and perimeter were the same numerical value, but this won't always be the case.

To find perimeter, simply multiply side length by . Thus,

$P=1\cdot 4=4$

The area of a square is $64\textup{ in}^2$ , what is the perimeter of the square?

Since the sides of a square are all the same, the area of a square can be found by $\textup{side}*\textup{side}=64\textup{in}^2.$ Therefore, the side of the square must be $8\textup{in}.$ The perimeter of a square can be found by adding up all of the four sides: $\textup{8in+8in+8in+8in=32in.}$