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# A garden is $90\ m$ long and $75\ m$ broad. A path $5\ m$ wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.

Given:

A garden is 90m long and 75m broad. A path 5m wide is to be built outside and around it.

To do:

We have to find the area of the path.

Solution:

Area of the garden = $90\times75\ m^2$

$=6750\ m^2$

Area of the outer rectangle including the park = $(90+5+5)\times(75+5+5)\ m^2$

$=100\times85\ m^2$

$=8500\ m^2$

Therefore,

Area of the path = Area of the outer rectangle $-$ Area of the garden

$=(8500-6750)\ m^2$

$=1750\ m^2$.

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