Problema Solution

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 provided by our tutors

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