Given length of rectangular park is 14m more than its breadth.
Let the breadth be b m .
∴ Length of the park will be l = b + 14 m
Given perimeter = 200 m
2 × (l + b) = 200 m
2 × (b + 14 + b) = 200 m [∵ l = b + 14]
2 × (2b + 14) = 200 m
2b + 14 = 200/2 m
2b + 14 = 100 m
2b = 100 – 14 m
2b = 86 m
b = 86/2 m
b = 43 m
Length Length of the park = 57 m
Area of a rectangle = (length × breadth) unit2
= (57 × 43) m2 = 2,451 m2
Area of the park = 2,451 m2