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Mathematics

The perimeter of a rectangular field is 35\dfrac{3}{5} km and its length is twice breadth. Find the area of the field in m2.

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Answer

Let length = l and breadth = b

Given,

Perimeter = 35km=30005m\dfrac{3}{5} \text{km} = \dfrac{3000}{5}m

l = 2b

By formula,

Perimeter = 2(l + b)

30005\dfrac{3000}{5} = 2(2b + b)

15005\dfrac{1500}{5} = 3b

⇒ 3b = 300

⇒ b = 100 m.

⇒ l = 2b = 2 × 100 = 200 m.

Area = l × b

= 200 × 100

= 20000 m2.

Hence, area of the field = 20000 m2.

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