Answer:
18 in^2
Step-by-step explanation:
1 )The three sides of the gutter add up to 12
2x+ y = 12
2) Subtract 2x from both sides.
y = 12 — 2x
3 )Find the area of the rectangle in terms of x and simplify.
Area = xy = x(12 — 2x) = -2x^2+12x = f(x)
4 ) x=-b/2a
x co-ordinate of the vertex= -12/2(-2)=3
5 )Plug in 3 for x into they equation.
y co-ordinate of the vertex= 12 — 2(3) = 6
6 ) Plug in 3 for x and 6 for y.
Area= xy = 3(6) = 18
RESULT
18 in^2
