Parallelograms

Help Questions

ISEE Middle Level Quantitative Reasoning › Parallelograms

Questions 1 - 10

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

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:

3

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.

4

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.

5

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 .

6

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

Explanation

The perimeter of a parallelogram is two times the two side lengths and add them together.

$\P=s_1+s_2+s_3+s_4 \s_1=s_3 \s_2=s_4 \P=s_a+s_a+s_b+s_b \P=2s_a+2s_b$

Therefore, this particular problem becomes as follows.

and

so

.

7

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 .

8

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

Explanation

The perimeter of a parallelogram is two times the two side lengths and add them together.

$\P=s_1+s_2+s_3+s_4 \s_1=s_3 \s_2=s_4 \P=s_a+s_a+s_b+s_b \P=2s_a+2s_b$

Therefore, this particular problem becomes as follows.

and

so

.

9

If the perimter of a parallelogram is and one of the sides is , what is the other side length?

The answer cannot be found

Explanation

The perimeter of a parallelogram is found by adding up all four sides.

Since there are two pairs of side with equal lengths, two sides must have a length of .

So the perimeter would be

or .

To find the value of the other side length, you would divide the remaining perimeter not include in the other sides by .

So $20\div2=10$ .

That means the other side length would be .

10

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

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

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

Page 1 of 2

Return to subject

AI TutorYour personal study buddy

Question of the DayDaily practice to build your skills

FlashcardsStudy and memorize key concepts

WorksheetsBuild custom practice quizzes

AI SolverStep-by-step problem solutions

Learn by ConceptMaster concepts step by step

Diagnostic TestsAssess your knowledge level

Practice TestsTest your skills with exam questions

GamesLearn through free games