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
= 25x2 + 20xy + 3y2
Length = (5x + 3y) units
∴ Breadth = Area/Length = (25x2 + 20xy + 3y2)/(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