Question

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer 1

(D) 10 ft

Explanation:

Given:

Height = Base + 6

Area = 160

Area = Base * Height

160 = x * (x + 6)

Expand and rearrange:

x^2 + 6x - 160 = 0

Factor:

(x + 16)(x - 10) = 0

Solve for x:

x = -16 or x = 10

Discard the negative solution:

x = 10