Question

The width of a rectangle is the length minus 5 units. The area of the rectangle is 6 square units. What is the length, in units, of the rectangle?

Answer 1

Answer: 6 units

Explanation:

let w=width, a=area, and l=length

given:

w=l-5

a=6

solve with the formula a=l*w

a=l*w

6=l*(l-5)

6=l^2-5l

0=l^2-5l-6

0=(l-6)(l+1)

l=6 or l=-1

the length can't be negative, so l=6