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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 - Mathematics

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प्रश्न

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

योग
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उत्तर

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Perimeter and Area - Exercise 3.2 [पृष्ठ ५३]

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सामाचीर कलवी Mathematics - Term 3 [English] Class 6 TN Board
अध्याय 3 Perimeter and Area
Exercise 3.2 | Q 4 | पृष्ठ ५३

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