1.

You must have observed that quite often,in gardens or parks, some space is left allaround in the form of path or in between1 as cross paths. A framed picture has somespace left all around it. We need to findthe areas of such pathways or borderswhenI we want to find the cost of making them.A rectangular park is 45 m long and 30 mwide. A path 2.5 m wide is constructedoutside the park. Find the area of thepath.Р12.5 m45 mQBА30 mIDSUIR​

Answer»

Given:

A rectangular park is 45 m long and 30 m wide. A path 2.5 m wide is constructed OUTSIDE the park.

To find:

The area of the path.

Solution:

Finding the area of the rectangular park:

Length = 45 m

Breadth = 30 m

∴ Area of the rectangular park = length × breadth = 45 × 30 = 1350 m²

Finding the area with the constructed path:

The width of the path = 2.5 m

New length = 45 + (2 × 2.5) = 50 m

New breadth = 30 + (2 × 2.5) = 35 m

The area of the park along with the path = 50 × 35 = 1750

Finding the area of the path:

The area of the path is,

= [Area with path] - [Area without path]

= 1750 m² - 1350 m²

= 400 m²

Thus, the area of the path constructed outside the park is → 400 m².

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