Solve the problem.
-A rain gutter is made from sheets of aluminum that are 27 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 49 square inches. There are two solutions to this problem. Round to the nearest tenth of an in
A) 2.2 in. and 11.3 in.
B) 2.0 in. and 25.0 in.
C) 2.6 in. and 13.6 in.
D) 1.6 in. and 20.0 in.

Question

Quizplus · Accepted Answer

The cross-sectional area of the gutter can be represented by the formula $A = x(27 - 2x)$, where $x$ is the depth of the gutter. Setting $A = 49$ and solving the quadratic equation $49 = x(27 - 2x)$ yields two solutions for $x$, which are approximately 2.2 inches and 11.3 inches.

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