Question

A garden is 90 m long and 75 broad . A part 5 m wide is to be built all around (outside ) it along its border . Find the area of the path ​

Answer 1

Explanation:

Area of original garden =90×75=6750 m

2

After path is added around rectangle, new length =90+2×5=100 m

New breadth =75+2×5=85 m

Area of rectangle with path =100×85=8500 m^2

So,

Area of path = Area of rectangle with path − Area of rectangle without path

Area of path =8500−6750

=1750 m^2

Answer 2

Length (l) of garden = 90 m

Breadth (b) of garden = 75 m

Area of garden = l × b = 90 × 75 = 6750 m2

From the figure, it can be observed that the new length and breadth of the garden, when path is also included, are 100m and 85m respectively.

Area of the garden including the path = 100 × 85 = 8500 m2

Area of path = Area of the garden including the path − Area of garden

= 8500 − 6750 = 1750 m2

1 hectare = 10000 m2

Therefore, area of garden in hectare

=6750/10000

=0.675