Answer:
L = 16
w = 10
Step-by-step explanation:
Givens
Area = 160 sqr inches
width = x
length = x + 6
Equation
Area = L * w
Solution
Substitute in the equation all of the givens.
160 = x(x + 6) Remove the brackets
160 = x^2 + 6x Subtract 160 from both sides.
160-160 = x^2 + 6x - 160
0 = x^2 + 6x - 160
This equation factors. Turn it around first
x^2 + 6x - 160 = 0
(x - 10)(x + 16) = 0
Answer
x (width) = 10
x + 16 = 16
The length is 16 inches and the width is 10 inches.
