Question

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 and also find the area of the garden in hectare
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Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Area\:of\:ground=0.675\:hectare}}$

${\bold{\therefore Area\:of\:path=1750\:m^{2}}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about a garden is 90 m long and 75 m Broad. A path 5 m wide is to be built outside and around it.

• We have to Find the area of the path and also find the area of the garden in hectare.

$\underline \bold{Given : } \\ \implies Length = 90 \: m \\ \\ \implies Breadth = 75 \: m \\ \\ \implies Path \: width = 5 \: m \\ \\ \underline \bold{To \: Find : } \\ \implies Area \: of \: path = ? \\ \\ \implies Area \: of \: ground \: in \: hectare = ?$

• According to given question :

$\bold{Using \: formula \: of \: area \: of \: rectangle} \\ \implies Area \: of \: ground = Length \times Breadth \\ \\ \implies Area_{1} = 90 \times 75 \\ \\ \bold{\implies Area_{1}= 6750 \: {m}^{2} } \\ \\ \bold{For \: area \: of \: path} \\ \implies Area \: of \: path = Area_{2} - Area_{1} \\ \\ \implies Area \: of \: path =100\times 8500-6750 \\ \\ \implies Area \: of \: path =8500-6750 \\ \\ \bold{\implies Area \: of \: path =1750 \: {m}^{2} }$

Answer 2

Answer:

Area of garden in hectares : 0.675 m²

Area of path : 1750 m²

Step-by-step explanation:

Given :

Length of the garden = 90 m

Breadth of the garden = 75 m

So,

The area of the garden :  L * B

  90 * 75

= 6750 m²

Area in hectares : 6750/10000

= 0.675 m²

To find the area of the path, what we have to do is that to find whole area's length and breadth first separately,

• Length of the Whole area including the 5 m path :

» 90 + (5)2 = 100 m

• Breadth of the Whole area including the 5 m path :

» 75 + (5)2= 85 m

Area of the whole area including the path of 5m in all sides :  L * B

= 100 * 85

= 8500 m²

Area of path = Area of whole area - Area of Garden

= 8500 - 6750

= 1750 m²