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Width of a rectangle is 75% of its length. If the perimeter of the r
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19 Feb 2025, 01:49
19 Feb 2025, 01:49
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Width of a rectangle is 75% of its length. If the perimeter of the rectangle is 280, what is the length of its diagonal?
A. 50
B. 75
C. 85
D. 90
E. 100
A. 50
B. 75
C. 85
D. 90
E. 100
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Re: Width of a rectangle is 75% of its length. If the perimeter of the r
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02 Mar 2025, 15:07
02 Mar 2025, 15:07
1
Let x = the length of the rectangle.
Given that its width is 85% of its length, the width = 0.75x
The formula for perimeter of a rectangle = 2 * (width + length)
Given that its perimeter is 280, we can set up the equation: 2 * (0.75x + x) = 280 and find that x = 80
Plug x back in to find that its length is 80 and its width is 60.
Using pythagorean theorem, width^2 + length^2 = diagonal^2
The length of its diagonal is 100.
Given that its width is 85% of its length, the width = 0.75x
The formula for perimeter of a rectangle = 2 * (width + length)
Given that its perimeter is 280, we can set up the equation: 2 * (0.75x + x) = 280 and find that x = 80
Plug x back in to find that its length is 80 and its width is 60.
Using pythagorean theorem, width^2 + length^2 = diagonal^2
The length of its diagonal is 100.
gmatclubot
Re: Width of a rectangle is 75% of its length. If the perimeter of the r [#permalink]
02 Mar 2025, 15:07
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