Question

A rectangular pen has a length 4 feet greater than its width. Find the area

A. x+4
b. x^2+4x
c. 4x
d. x^2+8x+16

Answer 1

b. x^2+4x

Explanation:

So since you don't know the width, you can just represent it as a variable, and in this case that variable will be "x". Now using this variable we can use it to represent the length since there is a relationship between the width and length which is given. Since the length is 4 feet greater than the width, we can represent the length as (x+4). Now to find the area, we simply multiply the length * width, which is x * (x+4) = x^2 + 4x