Solve.
-A rain gutter is made from sheets of aluminum that are 26 inches wide. The edges are turned up to form right angles. Determine the depth of the gutter that will allow a cross-sectional area of 53 square inches. There are
Two solutions to this problem. Round to the nearest tenth of an inch.
A) 2.2 in. and 23.8 in.
B) 3.0 in. and 12.6 in.
C) 2.5 in. and 10.5 in.
D) 1.8 in. and 19.0 in.

Question

Quizplus · Accepted Answer

The width of the base of the gutter is 26 - 2x, where x is the depth. The area is x(26 - 2x) = 53. Solving this quadratic equation gives x = 2.5 and x = 10.5.

Solve. -A Rain Gutter Is Made from Sheets of Aluminum That