Answer:
181 inches
Step-by-step explanation:
A rectangle has a length of 11 inches less than 8 times its width. If the area of the rectangle is 4344 square inches, find the length of the rectangle.
The formula for Area of a rectangle = Length × Width = L × W
A rectangle has a length of 11 inches less than 8 times its width.
L = 8W - 11
A = 4344
Hence,
4344 = (8W - 11)W
4344 = 8W² - 11W
Hence:.8W² - 11W - 4344
We factorise
(8W+181)(W−24)
W - 24 = 0
W = 24 inches
Solving for Length
L = 8W - 11
L = 8 × 24 - 11
L = 181 inches
