Question

A)) A 55 m long and 35 m broad park is surrounded by a 2.5 m wide

(i) Find the area of the path.

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Answer 1

Area of the path is 475 m².

Explanation:

Let us first draw the diagram for the given question.

Here rectangle ABCD represents a park whose length is 55 m and breadth is 35 m. The shaded portion shows the path all around the park whose width is 2.5 m.

Now, length of rectangle ABCD, l = 55 m

breadth of rectangle ABCD, B = 35 m

Now, width of the path = 2.5 m

So, length of rectangle PQRS, L = 55 + 2.5 + 2.5 = 60 m

breadth of rectangle PQRS, B = 35 + 2.5 + 2.5 = 40 m

Now, to calculate the area of shaded portion or the area of the path, we will subtract the area of the park or area of rectangle ABCD from the area of rectangle PQRS.

Now, area of rectangle PQRS, A₁ = L × B = 60 × 40 = 2400 m²

Area of rectangle ABCD, A₂ = l × b = 55 × 35 = 1925 m²

So, area of the path = A₁ - A₂ = 2400 - 1925 = 475 m²

Hence the area of the path is 475 m².