Question

the area of the rectangle 56cm. the length is 2cm more than x and the with is 5cm less than twice x. solve for x. round the nearest whole number.

Answer 1

(x+2)(2x-5)=56

2x^2-5x+4x-10=56

2x^2-x-10=56

2x^2-x-66=0

2x^2-12x+11x-66=0

2x(x-6)+11(x-6)=0

(2x+11)(x-6)=0, since x is a measurement x>0 so:

x=6cm

Answer 2

X will equal 6 centimeters