Question

A rectangular park is 90m long and 70m broad. A path 6m wide is to be built around the inside of the park. Find the arra of the path. Also find the area of the remaining park in hectares.​

Answer 1

Answer:

length of park including path= 90+6 = 96

breadth of park including path=70+6=76

area of park= $90*70 = 6300$$m^{2}$

area of park including path= $96*76=7296m^{2}$

area of path=$7296-6300=996m^{2}$

answer=$996m^{2}$

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Answer 2

Step-by-step explanation:

✿ᑫᑌᗴՏTIOᑎ:-

A rectangular park is 90m long and 70m broad. A path 6m wide is to be built around the inside of the park. Find the arra of the path. Also find the area of the remaining park in hectares.

✿ᗩᑎՏᗯᗴᖇ:-

◉ՏOᒪᑌTIOᑎ:-

$Length \: of \: the \: rectangular \: park \: = 90 \: m$

$Breadth \: of \: the \: rectangular \: park \: = \: 70 \: m$

$Width \: of \: the \: path \: = \: 6 \: m$

$Breadth \: of \: the \: path \: = \: 70 \: - \: ( 6 \times 2 )$

$= 70 - 12$

$= 58 m$

$Length \: of \: the \: path \: = \: 90 \: - \: ( 6 \times 2 )$

$= 90 - 12$

$= 78 m$

$Area \: of \: the \: path \: = l \times b$

$= 78 m \times \: 58 m$

$= 4524 m {}^{2}$

$Area \: of \: the \: park \: including \: \\ the \: path \: = l \times b$

$= 90 m \times \: 70 m$

$= 6300 m {}^{2}$

$Area \: of \: the \: park \: excluding \: the \: \\ path \: = \: Area \: of \: the \: park \:including \: \\ the \: path \: - \: Area \: of \: the \: path$

$= 6300 m {}^{2}  - \: 4524 m {}^{2}$

$= 1776 m {}^{2}$

$1 \: hectare = 10,000 \: m$

$Area \: of \: remaining \: park \: in \:hectares \: = \: \frac{1776}{10000}$

$= 0.1776 m {}^{2}$

$\: Area \: of \: the mpath \: is \: 4524 m {}^{2} .$

$\: \: \: And \: the \: area \: of \: the \: remaining \: \\ park \: in \: hectares \: is \: 0.1776 m {}^{2} .$