High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #13 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square with a side length of ?

Possible Answers:

Correct answer:

Explanation:

To find the area we square the side length

In this case we square  to get .

The answer for the area is .

Example Question #421 : Pre Algebra

What is the area of a square with a side length of ?

Possible Answers:

Correct answer:

Explanation:

To find the area of square, multiply the side lengths together:

Example Question #422 : Pre Algebra

A square has a side length of  cm. What is the area of the square? 

Possible Answers:

 square cm 

 square cm 

 square cm 

 square cm 

 square cm 

Correct answer:

 square cm 

Explanation:

Recall by definition that all sides of a square are congruent. Thus, since a square is a rectangle, we have that the area of a square is: 

 square cm. 

Example Question #423 : Pre Algebra

A square has an area of 16. If the sides of the square are tripled, what would be its new area? 

Possible Answers:

Correct answer:

Explanation:

If a square has an area of 16, that means each side equals 4. If each side were to be tripled, each side would equal 12. To find the new area of the square multiply two sides of the square:

Example Question #1 : How To Find The Area Of A Rectangle In Pre Algebra

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

Possible Answers:

Correct answer:

Explanation:

The area formula for a rectangle is . 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  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 base and  for height into the equation to get .

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

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  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 base and  for height into the equation to get .

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

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

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

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a rectangle is the length times the width: .

Plug in our given information:

Divide both sides by 8.

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

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

Possible Answers:

Correct answer:

Explanation:

The area of a quadrilateral is the length times the width, or . The problem gives us the area and the length, so we can solve:

Divide both sides by :

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  and a width of ?

Possible Answers:

Correct answer:

Explanation:

The area of a rectangle is the length times the width: 

Plug in our given values and solve:

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