Question

. The cost of fencing a rectangular park is rs 20/m and the total cost of fencing is rs 2000. if the length of the park is 35m find its area
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Answer 1

Answer:

$\huge \bf \: given$

• Cost of fencing per metre = ₹20
• Total cost = 2000
• Length of park = 35 m

$\huge \bf \: to \: find$

Area of park

$\huge \bf \: solution$

Firstly we will find how many meter does the rectangular park fenced.

So here we will find perimeter.

$\sf \: perimeter \: = \dfrac{total \: cost}{cost \: of \: fence \: per \: m}$

$\sf perimeter \: = \dfrac{2000}{20}$

$\sf perimeter \: = 100 \: m$

Now,

We will find breadth

Let breadth be x

As we are knowing that length is 35 m.

Therefore

$\sf \: 100 = 2(35 + x)$

$\sf \: 100 = 70 + 2x$

$\sf \: 100 - 70 = 2x$

$\sf \: 30 = 2x$

$\sf \: x = 30 \div 2$

$\sf \: x = 15$

Now,

Finding area

$\huge \bf \: a \: = l \times b$

$\sf \: a \: = 35 \times 15$

$\sf \: a \: = 525 \: m$

Therefore, area of rectangular park = 525 m.