Question

The length of a rectangle is 3 units more than the width. The area of the rectangle is 40 units. What is the length, in units, of the rectangle?

Answer 1

Step-by-step explanation:

Let the width of the rectangle be x units

Length of the rectangle = x+3 units

Area of the rectangle= 40 sq. units

x(x+3)=40

x²+3x-40= 0

x²+8x-5x-40=0

x(x+8)-5(x+8)=0

(x+8)(x-5)=0

x= -8 or, x= 5

Length or width can never be negative

Therefore,x= 5units

Width =5 units

Length=5+3=8 units