Question

A rectangular lawn of dimensions 65 mx 40 m has a path of uniform width 8 mall around inside it. Find the cost of paving the red stone on this path at the rate of 5.25 per m.​

Answer 1

Answer:

★ Cost = Rs 7476 ★

Step-by-step explanation:

Given:

• Length and Breadth of lawn is 65m and 40m respectively
• Width of Park is 8m
• Rate of paving stone is 5.25/m

To Find:

• Cost of paving stone in path

Solution:

★ Area of Rectangular Lawn = Length x Breadth

→ Area of ABCD = 65 x 40 = 2600m² { Lawn's area}

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† Length of EF = AB – ( 8+8) = 65–16 = 49m

† Breadth of HF = BC – (8+8) = 40–16 = 24 m

Therefore, Area of EFGH = Length x Breadth

→ Area of EFGH = 49 x 24 = 1176m²

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• We have to subtract Area of EFGH from area of ABCD to get the area of Path

∴ Area of Path = (2600–1176) = 1424m²

★ Cost of paving red stone is Rs 5.25/m

∴ Total cost of paving red stone = Area of Path x Cost of paving per meter

→ 1424 x 5.25 = Rs 7476

Hence, Cost will be Rs 7476