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ISEE Lower Level Math : How to find the area of a square

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Example Question #71 : Squares

If the perimeter of a square is 18 cm, what must the area of this square be?

Possible Answers:

20.25cm²

18cm²

25cm²

81cm²

16cm²

Correct answer:

20.25cm²

Explanation:

Remember that a square has four sides, each side with equal lengths. If a square has a perimeter of 18 cm, that means that each side has a length of

18 ÷ 4 =

4.5 cm.

The formula for the area of a square is length x width or length squared (length x length), since each side of a square has the same length.

So,

4.5 x 4.5 =

20.25cm²

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Example Question #72 : Squares

What is the area of a square that has a side with a length of 9 cm?

Possible Answers:

Correct answer:

Explanation:

The area of a square can be found using the same equation as the area of a rectangle - length times width.

$A=l\times w$

However, in the case of a square, all of the sides are of equal length. Therefore, the area of a square can be found using the equation:

$A=l\times l$ or A=l^2

$A=9^2=81\: cm^2$

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

What is the area of a square that has a side with a length of 10 in.?

Possible Answers:

$100\ in^{2}$

$40\ in$

$40\ in^{2}$

$50\ in$

$100\ in$

Correct answer:

$100\ in^{2}$

Explanation:

To calculate the area of a square, you need to multiply the length by the width. By definition, a square has 4 equal sides. So, by knowing the length of one side of the square, you know the length measurement and the width measurement.

Since the length of one side of this square is 10 in., you would multiply 10*10 to get the answer.

10*10=100

Because area is the number of squares that would be used to cover the inside the shape, it is given in units². As a result, the answer is 100 in^.2.

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

The perimeter of a square is $32\; cm$ . What is the area?

Possible Answers:

$40\; cm^{2}$

$48\; cm^{2}$

$96\; cm^{2}$

$64\; cm^{2}$

$16\; cm^{2}$

Correct answer:

$64\; cm^{2}$

Explanation:

The perimeter of a square is given by P=4s . Here 4s=32 , so divide by four to get s=8 .

The area of a square is given by $A=s^{2}$ . Substitute the side length obtained from the perimeter equation to get $A=s^{2}=(8)^{2}=64 \; cm^{2}$ .

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Example Question #5 : How To Find The Area Of A Square

The perimeter of a square is $24\; cm$ . What is the area?

Possible Answers:

$60\; cm^{2}$

$28\; cm^{2}$

$36\; cm^{2}$

$48\; cm^{2}$

$20\; cm^{2}$

Correct answer:

$36\; cm^{2}$

Explanation:

The perimeter of a square is given by P=4s , or 4s=24 . Divide by four to get s=6 .

The area of a square is given by $A=s^{2}$ . Substitute the side length obtained from the perimeter equation to get $A=s^{2}=(6)^{2}=36 \; cm^{2}$ .

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Example Question #6 : How To Find The Area Of A Square

The perimeter of a square is $48\; in$ . What is the area?

Possible Answers:

$121\; in^{2}$

$169\; in^{2}$

$100\; in^{2}$

$144\; in^{2}$

$81\; in^{2}$

Correct answer:

$144\; in^{2}$

Explanation:

The perimeter of a square is given by P=4s , or 4s=48 . Divide by four to get s=12 .

The area of a square is given by $A=s^{2}$ . Substitute the value obtained from the perimeter equation to get $A=s^{2}=(12)^{2}=144 \; in^{2}$ .

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Example Question #201 : Quadrilaterals

The perimeter of a square is $20\; in$ . What is the area?

Possible Answers:

$16\; in^{2}$

$24\; in^{2}$

$25\; in^{2}$

$12\; in^{2}$

$9\; in^{2}$

Correct answer:

$25\; in^{2}$

Explanation:

The perimeter of a square is given by P=4s , or 4s=20 . Divide by four to get s=5 .

The area of a square is given by $A=s^{2}$ . Substitute the side length obtained from the perimeter equation to get $A=s^{2}=(5)^{2}=25 \; in^{2}$ .

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

What is the area of a square with a side that measures feet?

Possible Answers:

square feet

Correct answer:

square feet

Explanation:

The area of a square can be found using the following formula:

$A=s^{^{2}}$

The side measures feet.

$5^{2}=25$

Therefore, the area of the square is square feet.

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Example Question #71 : Squares

Becca takes a square napkin and folds it in half once. She then folds it in half again. When she unfolds it, the creases create lines. What best describes the pattern created by the creases?

Possible Answers:

2 squares

2 rectangles

4 rectangles

4 squares

Correct answer:

4 squares

Explanation:

When a napkin is folded in half once, a crease is created vertically down the middle of the napkin. When folded in half once again, another crease is created horizontally across the middle. This creates four squares. Therefore, the best answer is "4 squares."

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Example Question #10 : How To Find The Area Of A Square

A square has a perimeter of 24 inches. What is the area of the square?

Possible Answers:

$24\text{in}^2$

$6\text{in}^2$

$36\text{in}^2$

$12\text{in}^2$

$72\text{in}^2$

Correct answer:

$36\text{in}^2$

Explanation:

Given that all four sides of a square are equal, if the perimeter is 24 inches, then you need to divide by 4 to find the length of each side.

P=s+s+s+s=4s

P=24

$P\div4=s$

$24\text{in}\div4=6\text{in}$

The area is found by multiplying two sides together.

$A=s\times s$

Plug in the value of to solve.

$6\text{in}\times 6\text{in} = 36\text{in}^2$

Therefore, $36\text{in}^2$ is the correct answer.

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ISEE Lower Level Math : How to find the area of a square

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #71 : Squares

Example Question #72 : Squares

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

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

Example Question #5 : How To Find The Area Of A Square

Example Question #6 : How To Find The Area Of A Square

Example Question #201 : Quadrilaterals

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

Example Question #71 : Squares

Example Question #10 : How To Find The Area Of A Square

All ISEE Lower Level Math Resources

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