GMAT Math : Calculating the length of the side of a rectangle

Example Questions

Example Question #1 : Calculating The Length Of The Side Of A Rectangle

The area of a rectangle is 85; its length is . What is its width?

Explanation:

The product of the length and the width of a rectangle is its area, so divide area by length to get width. This is simply .

Example Question #2 : Calculating The Length Of The Side Of A Rectangle

The perimeter of a rectangle is ; its width is . Which of the following expressions is equal to the length of the rectangle?

Explanation:

Substitute  and solve for :

Example Question #3 : Calculating The Length Of The Side Of A Rectangle

Rectangle A and Rectangle B have the same area. Rectangle A has length 80% that of Rectangle B, and its width is 120 centimeters. What is the width of Rectangle B?

Not enough information is given to answer the question.

Explanation:

Let  and  be the length and width of Rectangle B.

Then the width of Rectangle A is 80% of , or . Its length is 120.

The area shared by the two can be expressed as both  and . We can set the two equal to each other and calculate :

, or .

Example Question #4 : Calculating The Length Of The Side Of A Rectangle

Craig is building a fence around his rectangular back yard. He knows that the yard is  feet longer than twice the width. What is the width of the yard if Craig needs  feet of fencing to completely enclose the yard?

Explanation:

The length is 5 more twice the width. Let y be the length of the yard and w the width.

The perimeter of the yard is 160, so we can write:

The yard is 25 feet wide and 55 feet long.

Example Question #5 : Calculating The Length Of The Side Of A Rectangle

A rectangle has an area of . If the width of the rectangle is , what is its length?

Explanation:

Using the formula for the area of a rectangle, we can solve for the unknown length. We are given the area and the width, so we can solve for the length as follows:

Example Question #6 : Calculating The Length Of The Side Of A Rectangle

The length of a rectangle is twice its width. If the rectangle's area is , what is its length?

Explanation:

We're told the length is twice the width so

Remember, we're being asked for the length, not the width so:

Example Question #7 : Calculating The Length Of The Side Of A Rectangle

A rectangle with a perimeter of  has a width  times that of its length. Find its length.

Explanation:

The perimeter of a rectangle is found by . Since we are told , we can substitute this into our equation and solve for the length.

Example Question #8 : Calculating The Length Of The Side Of A Rectangle

The perimeter of a rectange equals  The length of the rectange equals four less than three times the width. What are the measurements of the length  and  of this rectangle?