Question

A rectangular grassy plot is 110m long and 78m broad. It has gravel path of 2.5m wide inside and around the plot. Find the area of the path. Find the cost of constructing the path at a rate of Rs.4.50 per square meter.

Answer 1

Answer:

Question:-

A rectangular grassy plot is 112 m long and 78 m broad. It has gravel path 2.5 m wide all around it on the side. Find the area of the path and the cost of constructing it at the rate of Rs. 4.50 per square metre.

Solution:-

We know that,

Inner area of rectangle = length × breadth

∴ Inner area of rectangle = 112 × 78 = 8736 m²

Width of path = 2.5 m

⇒ Length of outer rectangle = 112 – (2.5 + 2.5) = 107 m

⇒ Breadth of outer rectangle = 78 – (2.5 + 2.5) = 73 m

Outer area of rectangle = length × breadth

∴ Outer area of rectangle = 107 × 73 = 7811 m²

Now let’s calculate area of path,

Area of path = Outer area of rectangle – Inner area of rectangle

∴ Area of path = 8736 – 7811 = 925 m²

Also given that,

Cost of construction for 1 m² = Rs 4.50

∴ Cost of construction for 925 m² = 925 × 4.50 = Rs 4162.5

Hope it helps you!!(●ˇ∀ˇ●)

Answer 2

Step-by-step explanation:

This is correct answer.

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