The length of a rectangle is 3 inches more than its width. The area of. the rectangle is 40 square inches. What is the length, in inches, of the. rectangle?. (1) 5 (2) 8 (3) 8.5 (4) 11.6

Area of a rectangle=lenght x width.

width=x

length=x+3

we can suggest this equation:

x (x+3) = 40

x²+3x=40

x²+3x-40=0

we solve this square equation:

x=[-3⁺₋√ (9+160) ] / 2

x = (-3⁺₋13) / 2

we have two solutions:

x₁ = (-3-13) / 2=-8 this solution isn't valid.

x₂ = (-3+13) / 2=5

lenght=x+3=5+3=8

Answer: the lenght, in inches, of the rectangle is 8.

(2) 8

Let's say W=the width of the rectangle

if width times length equals the area, then ...

W x (3+W) = 40

Length = 8

Width = 5

I started by factorising 40:

2, 2, 2, 5.

Then you just find a way to arrange those numbers that works