Question

The area of a rectangle equals its length times its width. The length of a certain rectangle is 8 more one-fourth its width. Write an expression that show the area of this rectangle.

Answer 1

Here are two options:
Let A = area of the rectangle, L = length of the rectangle, and W = width of the rectangle
1st sentence: A = LW
2nd sentence: L = $\frac{1}{4}$W+8

Substitute the expression for L into the equation from the 1st sentence:
A = ($\frac{1}{4}$W+8)W
other answer option
A = $\frac{1}{4}$W²+8W