Solve the problem.
-A rain gutter is made from sheets of aluminum that are 24 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 58 square inches. There are
Two solutions to this problem. Round to the nearest tenth of an inch.
A)2.2 in. and 17.0 in.
B)3.4 in. and 8.6 in.
C)2.7 in. and 21.3 in.
D)4.0 in. and 10.4 in.

Question

Quizplus · Accepted Answer

The cross-sectional area of the gutter can be represented by the equation $A = x(24 - 2x)$, where $x$ is the depth of the gutter. Setting $A = 58$ square inches and solving the quadratic equation yields two solutions for $x$, which correspond to the depths of the gutter. The correct depths that solve this equation are approximately 3.4 inches and 8.6 inches.

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