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 #11 : How To Find The Area Of A Rectangle In Pre Algebra

A rectangular field has a width of  miles and a length of  miles. What is the area of the field? 

Possible Answers:

 square miles 

 square miles 

 square miles 

 square miles 

 square miles 

Correct answer:

 square miles 

Explanation:

We have the length and width of a rectangle. We know that the formula for the area of a rectangle is .

Therefore,

 square miles. 

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

A rectangle has a length of  feet and a width of  feet. What is the area of the rectangle? 

Possible Answers:

 square feet 

 square feet 

 square feet 

 square feet 

 square feet 

Correct answer:

 square feet 

Explanation:

Recall that the Area of a rectangle is determined by the product of the length and the width. Thus, our area is  square feet. 

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

Rectangle

If and , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

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

What is the area of a rectangle with width  and length ?

Possible Answers:

Correct answer:

Explanation:

The area of a rectangle is found by multiplying the length times the width.

Example Question #15 : How To Find The Area Of A Rectangle In Pre Algebra

The area of a particular rectangle is . If the length of the rectangle is twice the width, what is the width of the rectangle? 

Possible Answers:

Correct answer:

Explanation:

The forumla for the area of a rectangle is Length X Width. Here, that would be Width X 2Width (length). Solving for width, you get 

. Dividing by 2 and taking the square root of each side gives us

. Thus, the width of the rectangle is  units.

Example Question #16 : How To Find The Area Of A Rectangle In Pre Algebra

A square has a perimeter of . Find the area of the square.

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a square is  ( = side length of the square).

If the perimeter is , then the side length is .

Then, to find the area of the square, square the side length ()

Thus, the area of the square is .

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