Question

A rectangular hall 20 m long and 15 m broad is surrounded by a path of uniform width of 2.5m. Find the area of the path(in sq. m). ​

Answer 1

Given,

length of the hall = 20 metres

breadth of the hall = 15 metres

width of the path = 2.5 metres

To find,

The area of the path.

Solution,

We can easily solve this mathematical problem by subtracting the area of hall from the total area of the hall and the path.

Area of path = (Area of hall + Area of path) - Area of hall

Now,

Area of the hall

= Length × Breadth

= 20×15

= 300 m²

Length of the hall with the path = 20+(2.5×2) = 20+5 = 25 metres

Breadth of the hall with the path = 15+(2.5×2) = 15+5 = 20 metres

(We added the width of the path for twice because this width is added on both sides of the two dimensions of the hall.)

Area of the hall with the path = (25×20) = 500 m²

Area of the path = (500-300) = 200 m²

Hence, the area of the path is 200 m².