Suppose a rectangle has an area of 90m^{2} and the sides are x+1 and x+2. Find the dimensions of the rectangle.
(x+1)·(x+2)=90
x^{2}+3x+2=90
x^{2}+3x-88=0
(x+11)·(x-8)=0
x+11=0; x=-11
x-8=0; x=8
The sides are 9m and 10m long.

A person spent 540 euros to buy several objects. If each object had been 7 cheaper he or she could have bought 7more. How many object does he or she buy? What is the price of each object?