Question

Find the cost of fencing a rectangular park of length 170 m and breadth 100 m at the rate of Rs. 5

per metre.​

Answer 1

${\huge{\rm{\underline{\underline{Question:-}}}}}$

Q) Find the cost of fencing a rectangular park of length 170m and breadth 100m at the rate of Rs 5 per metre .

♡ Analysis :–

Fencing - It is to bound a field with fences . A field is fenced along its perimeter or circumference (in case of circle) .

In these question , we would find the perimeter of the field , then we would Multiply it by rate of fencing per meter so as to get the answer .

As this field is rectangular , it has a length and a breadth .

$\bf{We\;Have}\begin{cases}\sf{The\;given\;field\;is\:\bf{rectangular}}\\ \sf{Length=\bf{170m}}\\ \sf{Breadth=\bf{100m}}\\ \sf{Rate \;of\;fencing=\bf{Rs\:5\:per\:meter}}\end{cases}$

♡ To Find :–

• The cost of fencing .

♡ Solution :–

Using the Formula for finding Perimeter

$\pink \star \: \: \: \: \: \: \boxed{ \sf{perimeter _{rectangle} = 2(length + breadth)}} \: \: \: \: \: \: \pink \star$

Put the value of length and breadth ..

$\rm \mapsto \: perimeter = 2(170 + 100) \: m$

$\mapsto \rm \: perimeter = 2 \times 270 \: m$

$\longrightarrow \: \: \: \: \: \: \: \: \underline{ \boxed{ \rm{perimeter = 540 \: m}}}$

Now ,

$\mapsto \rm \: cost \: of \: fencing = 5 \times 540 \: rupees$

$\longrightarrow \: \: \: \: \: \: \: \: \underline{ \boxed{ \rm{ \pink{cost \: of \: fencing = 2700 \: rupees}}}}$

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Answer 2

Given :

⬤ Length of Rectangular Park is 170 m .

⬤ Breadth of Rectangular Park is 100 m .

To Find :

⬤ Rate of Fencing at Rs. 5 .

Formula Used :

$\bf[\:{Perimeter \: of \: Rectangle = 2(l+b)}\:]$

• l = Length
• b = Breadth

Solution :

First , We have to Calculate Perimeter of Rectangle . Hence ,

• Length = 170 m .
• Breadth = 100 m .

According to the Formula :-

2 (l + b)

2 (170 + 100)

340 + 200

540

Therefore , The Perimeter of Rectangular Park is 540 m .

Now :

As given that , Find the Cost of Fencing the Rectangular Park at the Rate of Rs. 5 . Hence ,

• Perimeter = 540 m .

540 × 5

2700

Therefore , Cost of Fencing the Rectangular Park at the Rate of Rs. 5 is Rs. 2700 .