The length a rectangle is 2 cm grater than its width. the area is the rectangle is 80 cm square what is the width of the rectangle

Step-by-step explanation:

If breadth = x

length = x+2

Area = length * breadth

Area = x (x+2) = 80

X^2+2x-80=0

X^2 + 10x - 8x - 80=0

X (x+10) - 8 (x+10) = 0

(X-8) (x+10) = 0

X=8 or x=-10

X=8 (since breadth cannot be a negative value x cannot be negative)