Question

The area of a rectangle is 45 square cm. If the length is 4cm greater than the width, what are the dimension of the rectangle?

Answer 1

The length & width of rectangle are `9 and 5` cms respectively.

Explanation:

Let the width of the rectangle be `x` cm; then the length will be `x+4`cm. Area of the rectangle is `x*(x+4)=45 or x^2+4x-45=0 or (x+9)(x-5)=0 :. x= -9 or x=5`Width cannot be negative. So `x=5; x+4=9:.`The length & width are `9 and 5` cms respectively.[Ans]