SOLUTION: Anna has a rectangular shape of fish pond in her backyard. The pond is in the shape of a rectangular solid. Anna wants the length of the pond to be 1.3 meter longer than the width

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Question 1122874: Anna has a rectangular shape of fish pond in her backyard. The pond is in the shape of a rectangular solid. Anna wants the length of the pond to be 1.3 meter longer than the width of the pond and the height of the pond to be one-third of the width. (Suppose that the volume of the pond is V = length × width × height )
a) Find the volume V(x) of the pond in term of x. What should the dimensions of the pond be if the volume of the fish pond is 1.2 cubic meters where x is a real number ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+V+=+x%2A%28+x+%2B+1.3+%29%2A%281%2F3%29%2Ax+
+V+=+%28+x%5E2+%2B+1.3x+%29%2A%281%2F3%29%2Ax+
+1.2+=+%28+x%5E2+%2B+1.3x+%29%2A%281%2F3%29+
+x%5E2+%2B+1.3x+-+3.6+=+0+
Solve using quadratic formula.
Use the positive solution.
Looking at the equation, I can see
The answer is between 1 and 2