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a gutter is made by turning up the sides of a piece of metal 20 in. wide the area is 50insq what is the depth?
An open rectangular gutter is made by turning the sides of a piece of metal 20in. wide. The area of the cross-section of the gutter is 50 in sq. Find the depth of the gutter.
Draw the cross-section which looks like a rectangle. Label the turned up sides "x". Label the bottom width: 20-2x.
Area = x(20-2x) = 50
20x - 2x² = 50
2x² - 20x + 50 = 0
x² - 10x + 25 = 0
(x - 5)² = 0
x = 5
The depth of the gutter is 5 inches.
that's it! 
Dreamshade - Wide Awake [OFFICIAL]