SOLUTION: Hector built a rectangular fish pond surrounded by a brick wall 3 m wide with an area of 132m squared. The pond is twice as long as it is wide. What are the dimensions of the pond.

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Question 947597: Hector built a rectangular fish pond surrounded by a brick wall 3 m wide with an area of 132m squared. The pond is twice as long as it is wide. What are the dimensions of the pond.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The pond dimensions are w and L.
L=2w;
total area wall and pond: %28L%2B2%2A3%29%28w%2B2%2A3%29
area just of wall: %28L%2B6%29%28w%2B6%29-wL=132


simplify wall area equation some:
%28wL%2B6w%2B6L%2B36%29-wL=132
6w%2B6L%2B36-132=0
w%2BL-16=0----------something seems off here.

Simple equation in just w and L.
Substitute for the description of L:
w%2B2w-16=0
3w=16
highlight%28w=16%2F3%29 and from described L, highlight%28L=32%2F3%29.