Answer:
The height is 12, and the base is 4.
Step-by-step explanation:
Let b = base
Then the height = 2b + 4
A = bh/2
bh/2 = A
b(2b + 4)/2 = 24
2b^2 + 4b = 48
b^2 + 2b - 24 = 0
(b - 6)(b + 4) = 0
b - 6 = 0 or b + 4 = 0
b = 6 or b = 4
A base length cannot be a negative number, so we discard the solution b = 4.
b = 4
h = 2b + 4 = 2(4) + 4 = 8 + 4 = 12
The height is 12, and the base is 4.
