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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
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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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