A rectangular plot is $112 m$ long and $6 m$ broad. It has $2 m$ path all around it on the inside.Find the area of the path and the cost of constructing it at the rate of $R s . 60$ per sq m.

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Solution

Given that:
Length $l = 112 m$ ,
Breadth $b = 6 m$ ,
Width $w = 2 m$ .

We know that Area of the path when it's inside $= 2 (w) \times (l + b - 2 w)$

$= 2 \times 2 \times (112 + 6 - 2 \times 2.5)$

$= 452 m^{2} .$

The cost of constructing it at $R s .60$ per sq.m
$= 452 \times 60$

$= R s . 27120$ .

This is the required answer.

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A rectangular plot is 112 m long and 6 m broad. It has 2 m path all around it on the inside.Find the area of the path and the cost of constructing it at the rate of Rs.60 per sq m.

Given that: Length l=112 m,Breadth b=6 m, Width w=2 m.We know that Area of the path when it's inside =2(w)×(l+b−2w)=2×2×(112+6−2×2.5)=452 m2.The cost of constructing it at Rs.60 per sq.m =452×60 =Rs.27120.This is the required answer.

A rectangular plot is $112 m$ long and $6 m$ broad. It has $2 m$ path all around it on the inside.Find the area of the path and the cost of constructing it at the rate of $R s . 60$ per sq m.