Question

The length of a rectangle is 5 centimeters less than its width What are the dimensions of the rectangle if its area is 66 square centimeters?

The length of the rectangle is
The width of the rectangle is

Answer 1

length of rectangle=6cm

width of rectangle=11cm

Explanation:

let, width of rectangle=x

length of rectangle=x-5

area of rectangle=
`length*(width)`

given area of rectangle=66

so 66=
`x*(x-5)`

66=x^2-5x

x^2-11x+6x-66=0

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

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

x=-6,11

here x=11 is acceptable

length of rectangle=x-5=11-5=6cm

length of rectangle=6cm

width of rectangle=11cm answer