Question

a rectangular playground has its length more than its breath by 2 m find the length and breadth of the playground if area of playground is 440 sq.m.​

Answer 1

Length = 22m

Breadth = 20m

Explanation:

Given:

Area = 440 m²

Let the breadth be x m

According to the question:

Length = (x+ 2) m

Area of a rectangle = length × breadth

Substitution the values of area, length and breadth

440 = (x+2) × x

440 = x² + 2x

x² + 2x - 440 = 0

x² + 22x - 20x - 440 = 0

x (x + 22) - 20 (x + 22) = 0

(x + 22) (x - 20) = 0

x = -22 and 20

Since the value of breadth cannot be in negative, therefore the value of breadth will be 20 m.

Length = (x + 2)

⇒ 20 + 2

⇒ 22 m