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Pre-Algebra : Area of a Parallelogram

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Example Questions

Example Question #70 : Geometry

Find the area of a parallelogram in feet with a base of 11 inches and a height of 2 feet.

Possible Answers:

$\frac{11}{6} \textup{ feet}^2$

$\frac{11}{6} \textup{ feet}$

$22 \textup{ feet}^2$

$264 \textup{ feet}^2$

$264 \textup{ feet}$

Correct answer:

$\frac{11}{6} \textup{ feet}^2$

Explanation:

Convert the base dimension to feet. There are 12 inches in a foot.

$b= 11 \textup{ inches} \left(\frac{1\textup{ foot}}{12 \textup{ inches}}\right) = \frac{11}{12} \textup{ foot}$

Write the formula for the area of a parallelogram.

A=bh

Substitute the dimensions.

$A=\left(\frac{11}{12} \textup{ foot}\right)(2 \textup{ feet}) = \frac{11}{6} \textup{ feet}^2$

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Example Question #21 : Area Of A Parallelogram

Find the area of the parallelogram if the base side is and the height is .

Possible Answers:

$\frac{15}{2}x^2$

15x^2

16x

30x^2

Correct answer:

15x^2

Explanation:

Write the area of the parallelogram.

A=bh

Substitute the dimensions.

A=(3x)(5x) = 15x^2

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Example Question #22 : Area Of A Parallelogram

Find the area of a parallelogram if the base is 13 and the height is 9.

Possible Answers:

112

224

117

Correct answer:

117

Explanation:

Write the formula for the area of a parallelogram.

A=bh

Substitute the base and height into the equation.

A=(13)(9) = 117

When multiplying two integers first multiply the ones place from each integer:

$9\cdot 3=27$

The seven will stay in the ones place but the two will be carried over. Now multiply the one integer with the tens integer and add the carried over term to that:

(9) (1)+2=9+2=11

The eleven represents the hundreds and tens spot. To get the final answer combine the ones digit to the hundreds and tens digit:

110+7=117

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Example Question #23 : Area Of A Parallelogram

Find the area of a parallelogram with the base of 5x^3 and a height of 10x^2 .

Possible Answers:

30 x^6

50 x^5

15 x^5

50 x^6

15 x^6

Correct answer:

50 x^5

Explanation:

Write the area formula of a parallelogram.

A=bh

Substitute the dimensions.

A=(5x^3)(10x^2)

Separate out the terms for clarity.

$A=5\cdot x\cdot x\cdot x\cdot 10\cdot x \cdot x$

There are five which could be combined as x^5 . Multiply the integers as well.

The area is: 50 x^5

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Example Question #24 : Area Of A Parallelogram

Solve for the area of a parallelogram if the base is and the height is .

Possible Answers:

102

408

204

297

594

Correct answer:

297

Explanation:

Write the formula for the area of a parallelogram.

$A=\textup{ Base} \times \textup{ Height}$

Substitute the base and the height into the equation.

A=3(99) = 297

The area of the parallelogram is 297 .

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Example Question #25 : Area Of A Parallelogram

If the parallelogram base is 5 inches and the height is 8 inches, what must be the area of the parallelogram in inches?

Possible Answers:

$20 \textup{ inches}^2$

$40 \textup{ inches}^2$

$40 \textup{ inches}$

$\frac{10}{3} \textup{ inches}^2$

$\frac{10}{3} \textup{ inches}$

Correct answer:

$40 \textup{ inches}^2$

Explanation:

Write the area formula for a parallelogram.

$A=\textup{Base} \times \textup{Height}$

Substitute the dimensions into the formula.

$A= 5 \textup{ inches} \times 8 \textup{ inches} = 40 \textup{ inches}^2$

The area is always in units squared.

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Example Question #27 : Area Of A Parallelogram

Find the area of a parallelogram with a base edge of and a height of .

Possible Answers:

31.5

Correct answer:

Explanation:

Write the formula for the area of a parallelogram.

A=bh

Substitute the base and the height into the formula and multiply the dimensions.

A=(9)(7) = 63

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Example Question #28 : Area Of A Parallelogram

Find the area of a parallelogram with a base of 9cm and height that is half the base.

Possible Answers:

$81\text{cm}^2$

$40.5\text{cm}^2$

$40.5\text{cm}$

$36\text{cm}$

$36.5\text{cm}^2$

Correct answer:

$40.5\text{cm}^2$

Explanation:

The formula to find the area of a parallelogram is

$A=b \cdot h$

where b is the base and h is the height. We know the base is 9cm and the height is half of the base. Therefore, the height is 4.5cm. Substituting into the formula, we get

$A = 9\text{cm} \cdot 4.5\text{cm}$

$A = 40.5\text{cm}^2$

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Pre-Algebra : Area of a Parallelogram

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #70 : Geometry

Example Question #21 : Area Of A Parallelogram

Example Question #22 : Area Of A Parallelogram

Example Question #23 : Area Of A Parallelogram

Example Question #24 : Area Of A Parallelogram

Example Question #25 : Area Of A Parallelogram

Example Question #27 : Area Of A Parallelogram

Example Question #28 : Area Of A Parallelogram

All Pre-Algebra Resources

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