Question

The lenght of rectangle is 12m more than twice the width the area of the rectangle is 320 square m write an equation that can be used to find the lenght and width of the rectangle also find the dimension of the rectangle

Answer 1

length is 32m and breadth is 10m

Answer 2

let breadth be x m
length=12+2x m

area=320 sq.m 
x(12+2x)=320
12x+2x*x=320
6x+x*x-160=0
x*x+16x-10x-160=0
x(x+16)-10(x+16)=0
(x-10)(x+16)=0
either
x=10
or
x= -16
as breadth cant be negative so breadth =10 m
length=12+2x
12+20=32m