Question

The length of a rectangle is 5 meters more than its width. If the area is 84 square meters, what are the length and width?

Answer 1

x(x+5) =84 ===> x^2+5x-84=0 ===> (x-7)(x+12)=0 ===> x=7 or x=-12

Answer 2

area of rectangle=length*width
length=5+width
so
area=(5+width)*width assume that width=w;
area=(5+w)*w
84=5w+w^2
w^2+5w-84=0
(w+12)*(w-7)=0
w=7 w=-12
however length can not be negative
so w=7
and
length=12

Answer 3

so width = 7 ==> lenght = 12

Answer 4

yes