SOLUTION: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross section of the gutter is 50in^2. Find the depth of the gutter.

SOLUTION: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross section of the gutter is 50in^2. Find the depth of the gutter.

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Question 238605: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross section of the gutter is 50in^2. Find the depth of the gutter.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let each vertical side be x and the base=20-2x
x(20-2x)=50
20x-2x^2=50
-2x^2+20x-50=0
-2(x^2-10x-+25)=0
(x-5)^2=0
x=5" depth
.
Ed
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