Answer:
length of rectangle=6cm
width of rectangle=11cm
Step-by-step explanation:
let, width of rectangle=x
length of rectangle=x-5
area of rectangle=[tex]length\times(width)[/tex]
given area of rectangle=66
so 66=[tex]x\times(x-5)[/tex]
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
