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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
A. 4
B. 8
C. 16
D. 32
E. 64
08 Oct 2006, 10:08
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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
two sides EACH = x the third = 2x and the wall length is thus 2x too
x*2x = 2x^2 = 128 ie x^2 = 64 ie x = 8
L = 16 W=8
TOTAL LENGHT OF FENCE = 2*8+16 = 32
MY ANSWER IS D
A. 4 B. 8 C. 16 D. 32 E. 64
two sides EACH = x the third = 2x and the wall length is thus 2x too
x*2x = 2x^2 = 128 ie x^2 = 64 ie x = 8
L = 16 W=8
TOTAL LENGHT OF FENCE = 2*8+16 = 32
MY ANSWER IS D
08 Oct 2006, 13:21
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32
2x * x = 128
2x^2 = 128
x^2 = 64
x = 8
perimeter = 2x + x + x = 4x = 4(8) = 32
2x * x = 128
2x^2 = 128
x^2 = 64
x = 8
perimeter = 2x + x + x = 4x = 4(8) = 32
