High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

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

If a rectangle has an area of  and a length of , what is the width?

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a rectangle is 

We can plug in our given information to solve:

Divide both sides by .

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

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

Possible Answers:

Correct answer:

Explanation:

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

We are given both values, so we simply multiply.

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  and a height of ?

Possible Answers:

Correct answer:

Explanation:

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

Plug the number  for the base and  for the height into the equation to get .

We then multiply to find the answer for the area is .

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  and a height of ?

Possible Answers:

Correct answer:

Explanation:

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

Plug in the number for the base and  for the height to get

We then multiply to find the answer for the area is .

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 #11 : 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 #431 : Pre Algebra

Rectangle

If and , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Example Question #432 : 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 #13 : 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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