Question

the length and width of a rectangle are consecutive integers. If the area of the rectangle is 90cm^2 , what is the primeter of the triangle

Answer 1

Explanation:

Let length and width of a rectangle be x, x+1

Area = 90 sq.cm

length * width = 90

x * (x + 1) = 90

x² + x = 90

x² + x - 90 = 0

x² + 10x - 9x - 9 * 10 = 0

x ( x + 10 ) - 9 (x + 10 ) = 0

(x + 10 ) (x - 9) = 0

x + 10 = 0 or x - 9 = 0

x = -10 { impossible . as length cannot be negative} ;

x = 9

Length = 9 , width = 10