Answer :
Answer:
Length of window = 9 inch
Width of window = 7 inch
Step-by-step explanation:
Given;
Area of window and frame = 195 inch²
Frame width = 3 inch
Length of window = x + 2
Width of window = x
Find:
Value of x
Computation:
Length of window and frame = x + 2 + 3 + 3
Length of window and frame = x + 8
Width of window and frame = x + 3 + 3
Width of window and frame = x + 6
Area of window and frame = (l)(b)
(x + 8)(x + 6) = 195
x² + 6x + 8x + (8)(6) = 195
x² + 14x + 48 = 195
x² + 14x - 147 = 0
x² + 21x - 7x - 147 = 0
x(x + 21) - 7(x + 21) = 0
So,
x + 21 = 0 and x - 7 = 0
So,
X = 7
Value of x = 7
Length of window = 9 inch
Width of window = 7 inch