Basic Geometry : How to find the area of a rectangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #165 : Rectangles

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #166 : Rectangles

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #167 : Rectangles

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #168 : Rectangles

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #21 : How To Find The Area Of A Rectangle

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #22 : How To Find The Area Of A Rectangle

If the perimeter of a rectangle is , and the length fo the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #23 : How To Find The Area Of A Rectangle

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #24 : How To Find The Area Of A Rectangle

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #25 : How To Find The Area Of A Rectangle

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

Example Question #26 : How To Find The Area Of A Rectangle

If the perimeter of a rectangle is , and the length of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First, use the information given about the perimeter to find the width of the rectangle.

Recall how to find the perimeter of a rectangle:

From this equation, we can solve for the width.

Substitute in the information from the question to find the width of the rectangle.

Simplify.

Now, recall how to find the area of a rectangle:

Substitute in the information about the length and width to find the area for the rectangle in question.

Solve.

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