Basic Geometry : Basic Geometry

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #581 : Basic Geometry

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 #582 : Basic Geometry

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 #583 : Basic Geometry

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 #584 : Basic Geometry

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 #585 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

Since we are given the width and the perimeter, we can solve for the length.

Substitute in the given values for the width and perimeter to find the length.

Simplify.

Solve.

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

Substitute in the values of the length and width to find the area.

Solve.

Example Question #586 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

Since we are given the width and the perimeter, we can solve for the length.

Substitute in the given values for the width and perimeter to find the length.

Simplify.

Solve.

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

Substitute in the values of the length and width to find the area.

Solve.

Example Question #171 : Rectangles

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

Since we are given the width and the perimeter, we can solve for the length.

Substitute in the given values for the width and perimeter to find the length.

Simplify.

Solve.

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

Substitute in the values of the length and width to find the area.

Solve.

Example Question #172 : Rectangles

If the perimeter of the rectangle is , and the width of the rectangle is , what is the area of the rectangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

Since we are given the width and the perimeter, we can solve for the length.

Substitute in the given values for the width and perimeter to find the length.

Simplify.

Solve.

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

Substitute in the values of the length and width to find the area.

Solve.

Example Question #589 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

Since we are given the width and the perimeter, we can solve for the length.

Substitute in the given values for the width and perimeter to find the length.

Simplify.

Solve.

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

Substitute in the values of the length and width to find the area.

Solve.

Example Question #590 : Plane Geometry

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

Since we are given the width and the perimeter, we can solve for the length.

Substitute in the given values for the width and perimeter to find the length.

Simplify.

Solve.

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

Substitute in the values of the length and width to find the area.

Solve.

 

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