How to find the perimeter of a square - SAT Math

Card 0 of 6

Question

Find the perimeter of a square whose side length is 5.

Answer

To solve, simply use the formula for the perimeter of a square. Thus,

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Question

A circle with a radius 2 in is inscribed in a square. What is the perimeter of the square?

Answer

To inscribe means to draw inside a figure so as to touch in as many places as possible without overlapping. The circle is inside the square such that the diameter of the circle is the same as the side of the square, so the side is actually 4 in. The perimeter of the square = 4s = 4 * 4 = 16 in.

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Question

Square X has 3 times the area of Square Y. If the perimeter of Square Y is 24 ft, what is the area of Square X, in sq ft?

Answer

Find the area of Square Y, then calculate the area of Square X.

If the perimeter of Square Y is 24, then each side is 24/4, or 6.

A = 6 * 6 = 36 sq ft, for Square Y

If Square X has 3 times the area, then 3 * 36 = 108 sq ft.

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Question

A square has an area of . If the side of the square is reduced by a factor of two, what is the perimeter of the new square?

Answer

The area of the given square is given by A = s^{2} so the side must be 6 in. The side is reduced by a factor of two, so the new side is 3 in. The perimeter of the new square is given by .

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Question

Find the perimeter of a square with side length 4.

Answer

To solve, simply use the formula for the perimeter of a square.

Substitute in the side length of four into the following equation.

Thus,

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Question

Find the perimeter of a square with side length 12.

Answer

To solve, simply use the formula for the perimeter of the square. Thus,

If you don't remember the formula, you can simply sum the sides of a square to find the perimeter.

However, since all the sides area the same, we get the following.

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