Answer:
Explanation:
Givens
Let the height = x
Let the base = 2*x +6
Let the area = 88 square feet.
Formula
A = Base * height / 2
Solution
88 = (2x + 6)*x/2 Multiply both sides by 2
88*2 = (2x+6)*2*x/2 Combine
176 = (2x + 6)*x Remove the brackets
176 = 2x^2 + 6x Subtract 176 from both sides
0 = 2x^2 + 6x - 176 This factors without the quadratic
0 = (2) (x^2 + 3x - 88)
0 = 2 (x +11)(x - 8)
Note: x + 11 has no meaning. Measurements of this type cannot be minus. What is - 11 feet.
x - 8 =0
x = 8
Answer
height = 8 feet
base = 2*8 + 6
base = 22