A rectangle is a quadrilateral and its area is expressed as the product of its length and width. From the given, we have:
Length = x + 2 Width = 2x - 5 Area = 54 cm^2
Area = Length x Width Substituting the values, Area = (x + 2) ( 2x-5) = 54 54 = 2x^2 - x - 10 2x^2 - x - 64 = 0
We can see that the equation above is a polynomial with a degree of 2 therefore we can usethe Quadratic Formula to solve for x. The quadratic formula will solve two values of x.