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SAT Math : How to find the perimeter of a square

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Example Questions

Example Question #1 : How To Find The Perimeter Of A Square

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

Possible Answers:

16 in

28 in

24 in

32 in

12 in

Correct answer:

16 in

Explanation:

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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Example Question #1 : How To Find The Perimeter Of A Square

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?

Possible Answers:

144

112

108

Correct answer:

108

Explanation:

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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Example Question #253 : Plane Geometry

A square has an area of $36 in^{2}$ $\displaystyle 36 in^{2}$. If the side of the square is reduced by a factor of two, what is the perimeter of the new square?

Possible Answers:

$24\ in.$ $\displaystyle 24\ in.$

$48\ in.$ $\displaystyle 48\ in.$

$32\ in.$ $\displaystyle 32\ in.$

$16\ in.$ $\displaystyle 16\ in.$

$12\ in.$ $\displaystyle 12\ in.$

Correct answer:

$12\ in.$ $\displaystyle 12\ in.$

Explanation:

The area of the given square is given by $A = s^{2}$ $\displaystyle A = s^{2}$ 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 $P = 4s = 4\cdot 3 = 12 in$ $\displaystyle P = 4s = 4\cdot 3 = 12 in$.

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Example Question #2 : How To Find The Perimeter Of A Square

Find the perimeter of a square with side length 4.

Possible Answers:

$\displaystyle 16$

$\displaystyle 32$

$\displaystyle 8$

$\displaystyle 64$

Correct answer:

$\displaystyle 16$

Explanation:

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

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

Thus,

$\displaystyle P=4s=4*4=16$

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Example Question #3 : How To Find The Perimeter Of A Square

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

Possible Answers:

$\displaystyle 20$

$\displaystyle 25$

$\displaystyle 40$

$\displaystyle 50$

Correct answer:

$\displaystyle 20$

Explanation:

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

$\displaystyle P=4s=4*5=20$

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Example Question #4 : How To Find The Perimeter Of A Square

Find the perimeter of a square with side length 12.

Possible Answers:

144 $\displaystyle 144$

$\displaystyle 24$

$\displaystyle 48$

$\displaystyle 72$

Correct answer:

$\displaystyle 48$

Explanation:

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

$\displaystyle P=4s=4*12=48$

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

$\displaystyle P=s1+s2+s3+s4$

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

$\displaystyle P=s1+s1+s1+s1=4s1$

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SAT Math : How to find the perimeter of a square

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #1 : How To Find The Perimeter Of A Square

Example Question #1 : How To Find The Perimeter Of A Square

Example Question #253 : Plane Geometry

Example Question #2 : How To Find The Perimeter Of A Square

Example Question #3 : How To Find The Perimeter Of A Square

Example Question #4 : How To Find The Perimeter Of A Square

All SAT Math Resources

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