Question 1178958
A rectangle is 2 meters longer than it is wide. If the area of the rectangle is 35 square meters what is the width?  

let width be x m
length will be x+2 m
Area = 35 sq.m,


Area = L * W

x(x+2)=35
x^2+2x=35
x^2+2x-35=0
factorise
x^2+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= 5 Or -7
Ignore negative
width is 5 m
lengthe = 7 m