Question

A path 7cm wide runs along inside a square park of side 107m. Find the area of the path. Also find the cost of repairing the path at the rate of rupees 5 per m². Plz give answer in step by step answer with explanation plz......

Answer 1

$\sf\large\underline\purple{Given:}$

$\rm{\implies Wide\:of\:path=7m}$

$\rm{\implies Side\:of\: square\: park=107m}$

$\rm{\implies repairing\:rate\:of\: path=Rs.5\:per\:m^2}$

$\sf\large\underline\orange{To\: Find:}$

$\rm{\implies repairing\:rate\:of\: path=?}$

$\sf\large\underline\green{Solution:}$

• At first we have to calculate side and the area of path to calculate the area of path, we have find out the area of original square park but in the question a path 7m wide runs a long in side of the square park. It means here two square will become. large square and small square now calculate calculate the both area of large and small square. After that we have to find the repairing rate of path.]

$\rm\blue{\implies Side\:_{(path)}=Side\:_{(square\:park)}-2(wide)\:_{(path)}}$

$\rm{\implies Side\:_{(path)}=107-2(7)}$

$\rm{\implies Side\:_{(path)}=107-14}$

$\rm{\implies Side\:_{(path)}=93m}$

• Now, calculate the area of large square:]

$\rm\red{\implies Area\:_{(large\: square)}=side^2}$

$\rm{\implies Area\:_{(large\: square)}=107^2}$

$\rm{\implies Area\:_{(large\: square)}=11449\:m^2}$

• Now calculate the area of small square:]

$\rm\red{\implies Area\:_{(small\: square)}=side^2}$

$\rm{\implies Area\:_{(small\: square)}=93^2}$

$\rm{\implies Area\:_{(small\: square)}=8649\:m^2}$

• Now calculate the area of path:]

$\rm\green{\implies Area\:_{(path)}=Area\:_{(large\:square)}-Area\:_{(small\: square)}}$

$\rm{\implies Area\:_{(path)}=11449-8649}$

$\rm{\implies Area\:_{(path)}=2800\:m^2}$

• Now, calculate repairing cost of path:]

$\rm\purple{\implies Repairing\:cost\:_{(path)}=Rate\:_{(per\:m^2)}\times\: Area\:_{(path)}}$

$\rm{\implies Repairing\:cost\:_{(path)}=5\times\:2800}$

$\rm{\implies Repairing\:cost\:_{(path)}=Rs.14000}$

$\sf\large{Hence,}$

$\rm\purple{\implies Repairing\:cost\:_{(path)}=Rs.14000}$

Answer 2

Answer:

your write answer is 14000

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