Answer:
10 and 6
Explanation:
Let A be the area of the rectangle, w the width and L the length
● A = w*L
The length is 4 feet more that the width so L = w+4
● A = w ×(w+4)
● A = w^2 + 4w
The area is 60 ft^2
● w^2 + 4w = 60
Substract 60 from both sides
● w^2 + 4w - 60 = 0
This a quadratic equation
We will solve it by graphing it
The solution are 6 and -10 since the graph intersect with the x-axis in those points (pictures below)
The width is 6 feet long since it is a distance and a distance is always positive.
● w = 6
● L = w + 4
● L = 6 + 4
● L = 10
The width is 6 feet and the length is 10 feet