Answer:
Width = 3ft
Length = 11ft
Step-by-step explanation:
Given parameters:
Area of rectangular wall = 33ft²
Unknown:
Length and width of the wall of the barn = ?
Solution:
So;
Area of a rectangle = length x width
Let the length = L
width = W
L = 8 + W
33 = (8 + W)W
33 = 8W + W²
W² + 8W - 33 = 0
W² + 11W - 3W - 33 = 0
W(W + 11) - 3(W + 11) = 0
(W - 3)(W + 11) = 0
W - 3 = 0 or W + 11 = 0
So; W = 3
To find the length;
L = W + 8
L = 3 + 8 = 11
