Answer:
41 inches
Explanation:
The formula for Area of a rectangle is ;
A = L × W
L = Length
W = Width
A rectangle has a length of 31 inches less than 3 times its width.
L = 3W - 31
If the area of the rectangle is 984 square inches, find the length of the rectangle
Hence,
984 = (3W - 31) × W
984 = 3W² - 31W
Hence
3W² - 31W - 984
3W(W - 24) + 4(W - 24) = 0
(3W + 41)(W - 24) = 0
W - 24 = 0
W = 24 inches
We have to find the Length
L = 3W - 31
L = 3(24) - 31
L = 72 - 31
L = 41 inches
The Length = 41 inches
The Length of the rectangle is 41 inches