Q18:

A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?

A. 4

B. 8

C. 16

D. 32

E. 64

Let a and be be the length and width of the rectangle. (bold sides being the fenced ones)

Acc to ques a*b=128 (area) ................(1)

Now, fenced side opposite the wall is twice the length of each of the other two fenced sides i,e if a=x, b=2x ............(2)

From (1) and (2)

2x^2=128

=> x=8

Total length of the fence = x+x+2x=32

Hope this helps

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