The cost of enclosing a rectangular garden with a fence all around at the rate of ₹ 150 per metre is ₹ 54,000. If the length of the garden is 100 m, find the area of the garden.
Mensuration
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The cost of enclosing a rectangular garden with a fence all around at the rate of ₹ 150 per metre is ₹ 54,000. If the length of the garden is 100 m, find the area of the garden.

KnowledgeBoat · Accepted Answer

Given, Length = 100 m. Let breadth = x meters. By formula, Perimeter of rectangle = 2(l + b) Substituting the values we get, Perimeter of rectangular garden = 2(100 + x) = (200 + 2x) m. Given, Cost of enclosing fence = ₹ 150 per meter. ∴ Cost of enclosing fence all round the rectangular garden = ₹150(200 + 2x) = ₹(30,000 + 300x). Given, total cost of fencing = ₹ 54,000 ∴ 30,000 + 300x = 54,000 ⇒ 300x = 54,000 – 30,000 ⇒ 300x = 24,000 ⇒ x = ⇒ x = 80 m. ∴ Breadth of garden = 80 m. So, the area of rectangular garden = length × breadth = 100 × 80 = 8000 m2. Hence, the area of rectangular garden = 8000 m2.

Mathematics

The cost of enclosing a rectangular garden with a fence all around at the rate of ₹ 150 per metre is ₹ 54,000. If the length of the garden is 100 m, find the area of the garden.

Mensuration

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Mathematics

The cost of enclosing a rectangular garden with a fence all around at the rate of ₹ 150 per metre is ₹ 54,000. If the length of the garden is 100 m, find the area of the garden.

Mensuration

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