Basic Geometry : How to find the length of the side of a rectangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

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Example Question #31 : How To Find The Length Of The Side Of A Rectangle

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a rectangle.

We can divide both sides by the length to find the width.

Now, plug in the information from the question.

Example Question #32 : How To Find The Length Of The Side Of A Rectangle

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

Possible Answers:

Correct answer:

Explanation:

Recall how to find the perimeter of a rectangle.

We can then manipulate this equation to find the width.

Now, plug in the information given by the question to find the width.

Example Question #33 : How To Find The Length Of The Side Of A Rectangle

Find the length of one side of a rectangle whose are is  and one side length is .

Possible Answers:

Correct answer:

Explanation:

To find the length of a side, we must manipulate the formula for the area of a rectangle as follows:

Thus,

Example Question #34 : How To Find The Length Of The Side Of A Rectangle

A rectangle has an area of , and a length of . Find the width in inches. 

Possible Answers:

Correct answer:

Explanation:

By using the formula for area, which is..:

..we plug in the numbers given. This gives us

Example Question #35 : How To Find The Length Of The Side Of A Rectangle

Find the length of a recangle given area is 10 and width is 2.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle and solve for length.

Example Question #36 : How To Find The Length Of The Side Of A Rectangle

 

A checkerboard has an area of and one of the sides has a length of . What is the length of the other side of the board?

Possible Answers:

Correct answer:

Explanation:

We can use the formula for the area of a rectangle to find the length of the side with the information provided:

Example Question #37 : How To Find The Length Of The Side Of A Rectangle

 

If a graham cracker has a width of and an area of , what would be the length of the cracker?

Possible Answers:

Correct answer:

Explanation:

We can solve for the missing length using the formula for area of a rectangle:

 

Example Question #38 : How To Find The Length Of The Side Of A Rectangle

A rectangle has a width of 5 meters. Its length is 2.5 times the width. What is the length of the long side and the total area of this rectangle?

Possible Answers:

None of these.

Correct answer:

Explanation:

"2.5 times the width" is equivalent to 2.5w. The length of the long side is .

The area is 

Example Question #39 : How To Find The Length Of The Side Of A Rectangle

A rectangle has a perimeter of . Its width is 5 in. What is the length of one long side?

Possible Answers:

None of these.

Correct answer:

Explanation:

The perimeter of a rectangle can be found with .

Fill in the information given, and solve for l:

Example Question #40 : How To Find The Length Of The Side Of A Rectangle

Brady wants create a garage with an area of 2000 square feet. He needs the garage to be 50 feet long to fit all of his equipment. How wide will the garage be?

Possible Answers:

None of the answers given are correct

Correct answer:

Explanation:

Since we have the area, and we have the length, we use the area of a rectangle formula to find the missing side length.

divide both sides by 50 to get the variable by itself

 

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