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Solve the problem.

A rain gutter is made from sheets of aluminum that are 25 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 50 square inches. There are two solutions to this problem. Round to the nearest tenth of an inch.
A) 2.5 in. and 10.0 in.
B) 2.2 in. and 22.8 in.
C) 3.0 in. and 12.0 in.
D) 1.8 in. and 18.2 in.

Respuesta :

apologiabiology
imagine a 'U' shape
sides are x legnth
base is b legnth
2x+b=25

area is height times base=xb

xb=50
2x+b=25
solve
minus 2x both sides
b=25-2x
sub for b
x(25-2x)=50
25x-2x^2=50
times -1 both sides
2x^2-25x=-50
add 50 both sides
2x^2-25x+50=0
use quadratic formula or something
x=2.5 or 10

A is the answer

syed514
The right option is A.

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