Question

he length of a rectangle is 5 feet longer than it is wide. If each side is increased 5 feet, then the area is multiplied by 4. What was the size of the original rectangle?

Answer 1

Answer:

Length = 8$\frac{1}{3}$

width = $3\frac{1}{3}$

Step-by-step explanation:

let width be equal to x and length be equal to x+5.

area = x(x+5)

if we add 5 to each side, area becomes 4 times bigger.

(x+5)(x+10)

set them equal to each other.

4(x(x+5)=(x+5)(x+10)

solve for x.

x=$\frac{10}{3}$;x=-5

since you know you can't have a side that has negative values, it has to be x=$\frac{10}{3}$