Question

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

Answer 1

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

Answer 2

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