How to find the area of a parallelogram

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ISEE Middle Level Quantitative Reasoning › How to find the area of a parallelogram

Questions 1 - 6

1

Find the area of the parallelogram with a base length of 6 and a height of 15.

Explanation

Write the area formula of a parallelogram.

Substitute the dimensions into the formula.

The answer is:

2

If a parallelogram has side lengths of and , what is the area?

Cannot be determined.

Explanation

To find the area of a parallelogram, you use the formula,

.

Since the height in this problem is not known, you cannot solve for area.

3

You can solve the area of a parallelogram when you know the lengths of each of the sides. True or False?

Explanation

The area of a parallelogram is found by computing . In this situation, you would have the base which is the bottom side but you would not have the height measurement. Since you would not be able to solve for the area with just the side lengths, the statement is .

4

Find the area of a parallelogram with a base of 6 inches and a height of 9 inches.

$54\text{in}^2$

$54\text{in}$

$27\text{in}^2$

$27\text{in}$

$30\text{in}^2$

Explanation

To find the area of a parallelogram, we will use the following formula:

$\text{area of a parallelogram} = b \cdot h$

where b is the base and h is the height of the parallelogram.

Now, we know the base has a length of 6 inches. We also know it has a height of 9 inches. Knowing this, we can substitute into the formula. We get

$\text{area of a parallelogram} = 6\text{in} \cdot 9\text{in}$

$\text{area of a parallelogram} = 54\text{in}^2$

5

Find the area:

Question_5

$\small 24$

$\small 32$

$\small 12$

$\small 16$

Explanation

The area of a parallelogram can be determined using the following equation:

$\small A=bh$

Therefore,

$\small A=8\times3=24$

6

Find the area of the following parallelogram:

Note: The formula for the area of a parallelogram is $A=b\times h$ .

Explanation

The base of the parallelogram is 10, while the height is 5.

$A=b\times h$

$A=10\times5=50: in^2$

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