Question

A path 2m long and 1 m broad is constructed around a rectangular ground of dimensions 120 m and 90 m respectively . Find the area of the path

Answer 1

Answer:

Area of Path = (124*92) - (120*90) = 608m²

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Answer 2

Area of Path 2m long & 1 m broad  around a rectangular ground of 120 * 90 m  is   608 m² or 668 m²

Step-by-step explanation:

Rectangular ground = 120 m * 90 m

Path 2m long & 1 m broad is wrong statement. only broad need to mentioned as length is dependent upon rectangular field

There can be two cases :

Case 1 :    2m broad is on the side of 120 m & 1 m broad on the side of 90 m

then Total size = 120 + 2 + 2 = 124 m   & 90+1 + 1 = 92 m

Area of Total including path = 124 * 92 m²

Area of Rectangular ground = 120 * 90 m²

Area of Path = 124*92 - 120 * 90

= 608 m²

Case 2 :    1m broad is on the side of 120 m & 2m broad on the side of 90m

then Total size = 120 + 1 + 1 = 122 m   & 90+2 + 2 = 94 m

Area of Total including path = 122 * 94 m²

Area of Rectangular ground = 120 * 90 m²

Area of Path = 122*94 - 120 * 90

= 668 m²