A rectangular grassy plot is $112 m$ long and $78 m$ broad. It has a gravel path $2.5 m$ wide all around it an the side. Find the area of the path and the cost of constructing it at its $4.50$ per square meter. Find the sum of the values.

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Solution

area of road $=$ Area of plot $-$ Area with out road
$A = (112.78) - [(112 - 5) . (78 - 5)]$
$A = 8736 - 7811$
$A = 925 S q . m$
Cost of constructing road $= 925 \times 4.50 = 4162.5$

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A rectangular grassy plot is 112m long and 78m broad. It has a gravel path 2.5m wide all around it an the side. Find the area of the path and the cost of constructing it at its 4.50 per square meter. Find the sum of the values.

area of road = Area of plot − Area with out roadA=(112.78)−[(112−5).(78−5)]A=8736−7811A=925Sq.mCost of constructing road =925×4.50=4162.5

A rectangular grassy plot is $112 m$ long and $78 m$ broad. It has a gravel path $2.5 m$ wide all around it an the side. Find the area of the path and the cost of constructing it at its $4.50$ per square meter. Find the sum of the values.

area of road $=$ Area of plot $-$ Area with out road
$A = (112.78) - [(112 - 5) . (78 - 5)]$
$A = 8736 - 7811$
$A = 925 S q . m$
Cost of constructing road $= 925 \times 4.50 = 4162.5$