Calculating the length of the side of a rectangle - GMAT Quantitative
Card 1 of 64
The perimeter of a rectangle is 
; its width is 
. Which of the following expressions is equal to the length of the rectangle?
The perimeter of a rectangle is
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Substitute 
and solve for 
:
Substitute
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The area of a rectangle is 85; its length is 
. What is its width?
The area of a rectangle is 85; its length is
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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 
.
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
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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?
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?
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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 
.
Let
Then the width of Rectangle A is 80% of
The area shared by the two can be expressed as both
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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?
Craig is building a fence around his rectangular back yard. He knows that the yard is
Tap to reveal answer
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.
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.
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A rectangle has an area of 
. If the width of the rectangle is 
, what is its length?
A rectangle has an area of
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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:
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:
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The length of a rectangle is twice its width. If the rectangle's area is 
, what is its length?
The length of a rectangle is twice its width. If the rectangle's area is
Tap to reveal answer
We're told the length is twice the width so 
Remember, we're being asked for the length, not the width so:
We're told the length is twice the width so
Remember, we're being asked for the length, not the width so:
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A rectangle with a perimeter of 
has a width 
times that of its length. Find its length.
A rectangle with a perimeter of
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The perimeter of a rectangle is found by 
. Since we are told 
, we can substitute this into our equation and solve for the length.
The perimeter of a rectangle is found by
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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?
The perimeter of a rectange equals
Tap to reveal answer
The perimeter of a rectangle can be found by the following formula: 
Let's substitute our values from the problem statement:
.
We also know from the second line that 
Let's substitute that back into the perimeter equation, and solve for width. Then, we plug that back into the other eqution to get the answer for length.
The perimeter of a rectangle can be found by the following formula:
We also know from the second line that
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The perimeter of a rectangle is ; its width is . Which of the following expressions is equal to the length of the rectangle?
The perimeter of a rectangle is
Tap to reveal answer
Substitute and solve for :
Substitute
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The area of a rectangle is 85; its length is . What is its width?
The area of a rectangle is 85; its length is
Tap to reveal answer
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 .
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
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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?
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?
Tap to reveal answer
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 .
Let
Then the width of Rectangle A is 80% of
The area shared by the two can be expressed as both
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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?
Craig is building a fence around his rectangular back yard. He knows that the yard is
Tap to reveal answer
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.
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.
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A rectangle has an area of . If the width of the rectangle is , what is its length?
A rectangle has an area of
Tap to reveal answer
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:
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:
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The length of a rectangle is twice its width. If the rectangle's area is , what is its length?
The length of a rectangle is twice its width. If the rectangle's area is
Tap to reveal answer
We're told the length is twice the width so
Remember, we're being asked for the length, not the width so:
We're told the length is twice the width so
Remember, we're being asked for the length, not the width so:
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A rectangle with a perimeter of has a width times that of its length. Find its length.
A rectangle with a perimeter of
Tap to reveal answer
The perimeter of a rectangle is found by . Since we are told , we can substitute this into our equation and solve for the length.
The perimeter of a rectangle is found by
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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?
The perimeter of a rectange equals
Tap to reveal answer
The perimeter of a rectangle can be found by the following formula: Let's substitute our values from the problem statement:
.
We also know from the second line that Let's substitute that back into the perimeter equation, and solve for width. Then, we plug that back into the other eqution to get the answer for length.
The perimeter of a rectangle can be found by the following formula:
We also know from the second line that
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The perimeter of a rectangle is ; its width is . Which of the following expressions is equal to the length of the rectangle?
The perimeter of a rectangle is
Tap to reveal answer
Substitute and solve for :
Substitute
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The area of a rectangle is 85; its length is . What is its width?
The area of a rectangle is 85; its length is
Tap to reveal answer
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 .
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
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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?
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?
Tap to reveal answer
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 .
Let
Then the width of Rectangle A is 80% of
The area shared by the two can be expressed as both
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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?
Craig is building a fence around his rectangular back yard. He knows that the yard is
Tap to reveal answer
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.
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.
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