**The area of a rectangular field is 25×2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.**

###### Answers:

Area of a rectangular field

= 25x^{2} + 20xy + 3y^{2}

Length = (5x + 3y) units

∴ Breadth = Area/Length = (25x^{2 }+ 20xy + 3y^{2})/(5x + 3y)

Hence breadth = 5x + y

Hence perimeter of a rectangular field

= 2(l + b)

= 2 (5x + 3y + 5x + y)

= 2(10x + 4y)

= 20x + 8y