Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
You should draw a diagram
And it should make a triangle and solve using SOH-CAH-TOA (sin cos tan) relative to your angle of 69 degrees
Dilation alters the length of the sides of a triangle but the angles remain the same
So cos x will still be 8/17
The answer is 4 inches. This is because the scale is 1 inch=3 feet. And when doing 12ft divided by 3ft you get 4. The 4 then represents 4 inches. Hope it helps :)
