SOLUTION: A fence encloses a square yard with an area of 36 m^2. The same amount of fencing can enclose a rectangular yard whose width is 2/3 the width of the square. What is the area of the

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Question 283074: A fence encloses a square yard with an area of 36 m^2. The same amount of fencing can enclose a rectangular yard whose width is 2/3 the width of the square. What is the area of the rectangle?
a) 24 b) 32 c) 48 d) 64 e) can not be determined
Found 2 solutions by mananth, richwmiller:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
area of aquare =36
so width of square =6
The perimeter of the square = 6*4=24
the width of rectangle is 2/3 of width of square = 2/3*6 =4m
let length of rectangle be x
2x+8 =24 (perimeter of square and rectangle is same)
2x=24-8
2x=16
x=16/2
x=8 m
The length of rectangle = 8 and width =4.
so area = 32square meters


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
36m^2 =s^2
s=6
the length and width are both 6.
perimeter =4s=24
2/3*6=4
rectangle width=4
2(L+W)=24
2L+2*4=24
2L=16
L=8
W=4
area=8*4=32