Answer:
b = 12 ft; h = 8 ft
Explanation:
Area of Triangle:
A = base × height / 2
The base and height are both unknown.
Let the height = h
The base is 4 more than the height, so the base is h + 4.
A = base × height / 2
48 = (h + 4)(h)/2
96 = (h + 4)h
h² + 4h - 96 = 0
(h - 8)(h + 12) = 0
h - 8 = 0 or h + 12 = 0
h = 8 or h = -12
The height cannot be a negative number, so discard the solution h = -12.
h = 8
base = h + 4 = 8 + 4 = 12
Answer: b = 12 ft; h = 8 ft