Answer:
D
Step-by-step explanation:
Answer:
we need a picture, or the rectangles
5=-7s
5/-7
You're welcome
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.
![x(x+5)=204 \\ x^2+5x=204 \\ x^2+5x-204=0 \\ x^2+17x-12x-204=0 \\ x(x+17)-12(x+17)=0 \\ (x-12)(x+17)=0 \\ x-12=0 \ \lor \ x+17=0 \\ x=12 \ \lor \ x=-17](https://tex.z-dn.net/?f=x%28x%2B5%29%3D204%20%5C%5C%0Ax%5E2%2B5x%3D204%20%5C%5C%0Ax%5E2%2B5x-204%3D0%20%5C%5C%0Ax%5E2%2B17x-12x-204%3D0%20%5C%5C%0Ax%28x%2B17%29-12%28x%2B17%29%3D0%20%5C%5C%0A%28x-12%29%28x%2B17%29%3D0%20%5C%5C%0Ax-12%3D0%20%5C%20%5Clor%20%5C%20x%2B17%3D0%20%5C%5C%0Ax%3D12%20%5C%20%5Clor%20%5C%20x%3D-17)
The length of the base of a parallelogram must be a positive number, so x=12.
![\hbox{the base:} \\ x=12 \\ \\ \hbox{the height:} \\ x+5=12+5=17](https://tex.z-dn.net/?f=%5Chbox%7Bthe%20base%3A%7D%20%5C%5C%20x%3D12%20%5C%5C%20%5C%5C%0A%5Chbox%7Bthe%20height%3A%7D%20%5C%5C%20x%2B5%3D12%2B5%3D17)
The base is 12 feet long, the height is 17 feet long.