Bunuel wrote:
Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?
A. 5/2
B. 5
C. 10
D. 15
E. 20
PS98502.01
OG2020 NEW QUESTION
Here's a diagram of the 30 x 40 lawn
If we keep the full width (of 30 feet), then the length of the enclosure = 3/4 of 40 = 30 feet
So, the enclosure is a 30 by 30 square.
The PERIMETER = 30 + 30 + 30 + 30 =
120 feetIf we keep the full length (of 40 feet), then the width of the enclosure = 3/4 of 30 = 22.5 feet
So, the enclosure is a 40 by 22.5 rectangle.
The PERIMETER = 40 + 40 + 22.5 + 22.5 =
125 feetIf the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?125 feet -
120 feet =
5Answer: B
Cheers,
Brent
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