Question

a rectangular grassy plot is 75 metre long and 60m broad it has a path of 2 metre width all around it find the area of path

Answer 1

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Answer 2

Answer:

★ Area of Path = 524m² ★

Step-by-step explanation:

Given:

• Length and Breadth of rectangle plot is 75m and 60m respectively
• Width of the park is 2 m

To Find:

• Area of the grassy path

Solution: Let ABCD is a rectangular grassy.

★ Area of Rectangle= Length x Breadth

$\small\implies{\sf }$ Area of ABCD= AB x BC

$\small\implies{\sf }$ Area of ABCD = 75m x 60m = 4500m²

__________________________

† Length of EF =AB –( 2+2) = 75–4=71m

† Breadth of GF=BC–(2+2)=60–4= 56 m

∴ Area of EFGH = Length x Breadth

$\small\implies{\sf }$ Area of EFGH = EF x GF

$\small\implies{\sf }$ Area of EFGH = 71m x 56m = 3976m²

★ We have to find Area of Path ★

∴ Area of Path = Area ( ABCD – EFGH )

$\small\implies{\sf }$ Area of Path= 4500–3976= 524m²

Hence, Area of Path will be 524m²