ACT Math : How to find the area of a rectangle

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #351 : Act Math

What is the area in  of a yard with dimensions that are   by  ?  (There are   per .)

Possible Answers:

 

 

 

 

 

Correct answer:

 

Explanation:

Because of complexities that arise with square units, it is best to start a problem like this by changing all of your units into inches from the very beginning.  Thus, you know that the yard is  or  inches by  or  inches.

Thus, the area of the yard is  

Example Question #11 : How To Find The Area Of A Rectangle

Find the area of a rectangle whose length is  and width is .

Possible Answers:

Correct answer:

Explanation:

To find area, simply multiply length times width. Thus,

Example Question #12 : How To Find The Area Of A Rectangle

Find the area of a rectangle whose width is  and length is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply multiply width and length. Thus,

Example Question #13 : How To Find The Area Of A Rectangle

Find the area of rectangle given width of 5 and length of 8.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle. Thus,

Example Question #122 : Quadrilaterals

Erin is getting ready to plant her tulip garden. She wants to plant two tulips per square foot of garden. If her rectangular garden is enclosed by 24 feet of fencing, and the length of the fence is twice as long as its width, how many tulips will Erin plant?

Possible Answers:

64

24

32

48

16

Correct answer:

64

Explanation:

We know that the following represents the formula for the perimeter of a rectangle:

  

In this particular case, we are told that the length of the fence is twice as long as the width. We can write this as the following expression:

 

Use this information to substitute in a variable for the length that matches the variable for width in our perimeter equation.

We also know that the length is two times the width; therefore, we can write the following:

The area of a rectangle is found by using this formula:

The area of the garden is 32 square feet. Erin will plant two tulips per square foot; thus, she will plant 64 tulips.

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