High School Math : How to find the area of a rectangle in pre-algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #697 : High School Math

Find the area of a rectangle with a length of 18 meters and a width of 4 meters. 

Possible Answers:

\displaystyle 108\ m^{2}

\displaystyle 72\ m^{2}

\displaystyle 64\ m^{2}

\displaystyle 100\ m^{2}

\displaystyle 74\ m^{2}

Correct answer:

\displaystyle 72\ m^{2}

Explanation:

The area formula for a rectangle is \displaystyle length\times width. Plug in the values and you get 72. Since area is squared, make sure your units are squared as well.

Example Question #2 : How To Find The Area Of A Rectangle In Pre Algebra

What is the area of a rectangle with a base of \displaystyle 27 and a height of \displaystyle 21?

Possible Answers:

\displaystyle 567

\displaystyle 617

\displaystyle 581

\displaystyle 603

Correct answer:

\displaystyle 567

Explanation:

To find the area of a rectangle we multiply the base by the height. \displaystyle Area=b*h

Plug the number \displaystyle 27 for base and \displaystyle 21 for height into the equation to get \displaystyle Area=27*21.

We then multiply to find the answer for the area is \displaystyle 567.

Example Question #3 : How To Find The Area Of A Rectangle In Pre Algebra

What is the area of a rectangle with a base of \displaystyle 5 and a height of \displaystyle 52?

Possible Answers:

\displaystyle 255

\displaystyle 260

\displaystyle 248

\displaystyle 250

Correct answer:

\displaystyle 260

Explanation:

To find the area of a rectangle we multiply the base by the height. 

Plug the number \displaystyle 5 for base and \displaystyle 52 for height into the equation to get \displaystyle Area=5*52.

We then multiply to find the answer for the area is \displaystyle 260.

Example Question #3 : How To Find The Area Of A Rectangle In Pre Algebra

The area of a rectangle is \displaystyle 32. If the length of the rectangle is \displaystyle 8, what is the width?

Possible Answers:

\displaystyle 24

\displaystyle 8

\displaystyle 12

\displaystyle 16

\displaystyle 4

Correct answer:

\displaystyle 4

Explanation:

The formula for the area of a rectangle is the length times the width: \displaystyle A=l*w.

Plug in our given information:

\displaystyle 32=8*w

Divide both sides by 8.

\displaystyle \frac{32}{8}=w

\displaystyle 4=w

Example Question #4 : How To Find The Area Of A Rectangle In Pre Algebra

The area of a quadrilateral is \displaystyle 52. If the length of one side is \displaystyle 4, what is the width of the figure?

Possible Answers:

\displaystyle 13

\displaystyle 34

\displaystyle 16

\displaystyle 48

\displaystyle 4

Correct answer:

\displaystyle 13

Explanation:

The area of a quadrilateral is the length times the width, or \displaystyle A=l*w. The problem gives us the area and the length, so we can solve:

\displaystyle A=l*w

\displaystyle 52=4*w

Divide both sides by \displaystyle 4:

\displaystyle \frac{52}{4}=w

\displaystyle 13=w

Example Question #5 : How To Find The Area Of A Rectangle In Pre Algebra

What is the area of a rectangle with a length of \displaystyle 5 and a width of \displaystyle 2?

Possible Answers:

\displaystyle 14

\displaystyle 10

\displaystyle 7

\displaystyle 20

\displaystyle 5

Correct answer:

\displaystyle 10

Explanation:

The area of a rectangle is the length times the width: \displaystyle A=l*w

Plug in our given values and solve:

\displaystyle A=l*w

\displaystyle A=5*2

\displaystyle A=10

Example Question #6 : How To Find The Area Of A Rectangle In Pre Algebra

If a rectangle has an area of \displaystyle 36 and a length of \displaystyle 3, what is the width?

Possible Answers:

\displaystyle 6

\displaystyle 4

\displaystyle 36

\displaystyle \sqrt{12}

\displaystyle 12

Correct answer:

\displaystyle 12

Explanation:

The formula for the area of a rectangle is \displaystyle A=l*w

We can plug in our given information to solve:

\displaystyle A=l*w

\displaystyle 36=3*w

Divide both sides by \displaystyle 3.

\displaystyle \frac{36}{3}=w

\displaystyle 12=w

Example Question #701 : High School Math

What is the area of a rectangle with a length of \displaystyle \small 5 and a width of \displaystyle \small 3?

Possible Answers:

\displaystyle 8

\displaystyle 15

\displaystyle 7.5

\displaystyle 16

Correct answer:

\displaystyle 15

Explanation:

The area of a rectangle is equal to the product of the length and the width.

\displaystyle A=l\times w

We are given both values, so we simply multiply.

\displaystyle A=5\times 3=15

Example Question #6 : How To Find The Area Of A Rectangle In Pre Algebra

What is the area of a rectangle with a base of \displaystyle 3 and a height of \displaystyle 16?

Possible Answers:

\displaystyle 48

\displaystyle 24

\displaystyle 38

\displaystyle 19

Correct answer:

\displaystyle 48

Explanation:

To find the area of a rectangle we multiply the base by the height. 

Plug the number \displaystyle 3 for the base and \displaystyle 16 for the height into the equation to get \displaystyle A=3*16.

We then multiply to find the answer for the area is \displaystyle 48.

Example Question #7 : How To Find The Area Of A Rectangle In Pre Algebra

What is the area of a rectangle with a base of \displaystyle 15 and a height of \displaystyle 4?

Possible Answers:

\displaystyle A=17

\displaystyle A=45

\displaystyle A=60

\displaystyle A=30

Correct answer:

\displaystyle A=60

Explanation:

To find the area of a rectangle we multiply the base by the height.

Plug in the number \displaystyle 15 for the base and \displaystyle 4 for the height to get

\displaystyle A=4\cdot 15

We then multiply to find the answer for the area is \displaystyle A=60.

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