Question

A rectangular Park is 25 m long and 15 m wide. A path 3 m is constructed outside the park. Find the area of the path​

Answer 1

Area of path is 276 m².

Given:

• A rectangular Park is 25 m long and 15 m wide.
• A path 3 m is constructed outside the park.

To Find:

• Find the area of the path.

Solution:

Formula/Concept to be used:

1. Area of rectangle: Length×breadth
2. Area of path: Area of rectangle PQRS- Area of rectangle ABCD.

*See the attached figure.

Step 1:

Find the area of rectangle ABCD.

Its length = 25 m

Breadth = 15 m

Area of rectangle ABCD= 25×15= 375 m²

Step 2:

Find the area of rectangle PQRS.

Length and breadth both are increased by 6 m, because the path is 3 m wide from all sides,

Its length = 25+6=31 m

Breadth = 15+6=21 m

Area of rectangle PQRS= 31×21= 651 m²

Step 3:

Find area of path.

Area of path: Area of rectangle PQRS- Area of rectangle ABCD.

Area of path= 651-375 m²

Area of path= 276 m²

Thus,

Area of path is 276 m².

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