Answer:
Length = 22m
Breadth = 20m
Step-by-step 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
