Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #2 : How To Find The Perimeter Of A Rectangle

Robert is designing a rectangular garden. He wants the area of the garden to be 9 square meters. If the length of the lot is going to be three meters less than twice the width, what will the perimeter of the lot be in meters?

 

Possible Answers:

6

1.5

3

10

12

Correct answer:

12

Explanation:

Let l be the length of the garden and w be the width. 

By the specifications of the problem, l = 2w-3.

Plug this in for length in the area formula:

A = l  x w = (2w - 3) x w = 9

Solve for the width:

2w²- 3w - 9 =0 

(2w + 3)(w - 3) = 0

w is either 3 or -3/2, but we can't have a negative width, so w = 3.

If w = 3, then length = 2(3) - 3 = 3.

Now plug the width and length into the formula for perimeter:

P = 2 l + 2w = 2(3) + 2(3) = 12

 

 

Example Question #1 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #21 : Quadrilaterals

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #22 : Quadrilaterals

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #23 : Quadrilaterals

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #11 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #12 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #13 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #14 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle that has a length of  and a width of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

Example Question #28 : Quadrilaterals

Find the perimeter of a rectangle that has a width of  and a length of .

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle:

For the given rectangle,

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