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ISEE Lower Level Math : Quadrilaterals

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Example Questions

Example Question #63 : Squares

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

Possible Answers:

$49\text{cm}$

$21\text{cm}$

$28\text{cm}$

$56\text{cm}$

$42\text{cm}$

Correct answer:

$28\text{cm}$

Explanation:

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

P = 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 7cm. Because it is a square, all sides are equal. Therefore, all sides are 7cm. So, we get

$P = 7\text{cm} + 7\text{cm} + 7\text{cm} + 7\text{cm}$

$P = 28\text{cm}$

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Example Question #201 : Quadrilaterals

Use the square to answer the question.

Square_perimeter

What is the perimeter of the square?

Possible Answers:

22ft

18ft

28ft

14ft

35ft

Correct answer:

28ft

Explanation:

To find the perimeter of a square, add all the sides together:

$7\textup{ ft}+7\textup{ ft}+7\textup{ ft}+7\textup{ ft}=28\textup{ ft}$

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

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

Possible Answers:

25cm²

18cm²

16cm²

20.25cm²

81cm²

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 #202 : Quadrilaterals

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 #203 : Quadrilaterals

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

Possible Answers:

$50\ in$

$40\ in^{2}$

$40\ in$

$100\ in$

$100\ in^{2}$

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 #2 : How To Find The Area Of A Square

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

Possible Answers:

$40\; cm^{2}$

$96\; cm^{2}$

$64\; cm^{2}$

$48\; cm^{2}$

$16\; cm^{2}$

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 #204 : Plane Geometry

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

Possible Answers:

$36\; cm^{2}$

$48\; cm^{2}$

$20\; cm^{2}$

$60\; cm^{2}$

$28\; cm^{2}$

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 #1161 : Isee Lower Level (Grades 5 6) Mathematics Achievement

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

Possible Answers:

$100\; in^{2}$

$81\; in^{2}$

$169\; in^{2}$

$121\; in^{2}$

$144\; in^{2}$

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 #204 : Quadrilaterals

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

Possible Answers:

$12\; in^{2}$

$25\; in^{2}$

$24\; in^{2}$

$9\; in^{2}$

$16\; in^{2}$

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 #1162 : Isee Lower Level (Grades 5 6) Mathematics Achievement

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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ISEE Lower Level Math : Quadrilaterals

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #63 : Squares

Example Question #201 : Quadrilaterals

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

Example Question #202 : Quadrilaterals

Example Question #203 : Quadrilaterals

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

Example Question #204 : Plane Geometry

Example Question #1161 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #204 : Quadrilaterals

Example Question #1162 : Isee Lower Level (Grades 5 6) Mathematics Achievement

All ISEE Lower Level Math Resources

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