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Question
The length of a rectangular park is 14 m more than its breadth. If the perimeter of the park is 200 m, what is its length? Find the area of the park
Solution
Given length of rectangular park is 14 m 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
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