Answer:
C. 27 feet to the nearest foot.
Step-by-step explanation:
In a 45-45-90 triangle the 2 legs ( the base and the height) are equal in length.
So the area = 1/2 * base * height
= 1/2 h^2 = 32
h^2 = 32 / 1/2 = 64
h = 8 feet.
That is both legs are 8 feet long.
So the amount of fencing needed = the perimeter
= 2*8 + H where H is the hypotenuse.
As it is a 45-45-90 triangle H = √ * 8 = 11.3 feet.
The perimeter = 16 + 11.3
= 27 feet to the nearest foot.
