Question

find the cost of fencing a square patch of land side 20m at the rate of rs.37 per m​

Answer 1

Question:-

find the cost of fencing a square patch of land side 20m at the rate of rs.37 per m

Answer:-

• The total cost of fencing is ₹2960.

To find:-

• Cost of fencing

Solution:-

• Side of square = 20 m

$\large{ \blue{ \underline{ \underline{ \mathfrak{ \green{perimeter = 4 \times side}}}}}}$

According to question,

$\large{ \tt : \implies \: \: \: \: perimeter = 4 \times 20}$

$\large{ \tt : \implies \: \: \: \: perimeter = 80 \: m}$

• The perimeter of land is 80 m
• Cost of fencing (per m) = ₹ 37

$\large{ \pink{ \underline{ \underline{ \mathfrak{ \blue{total \: cost \: = cost(per \: m) \times perimeter}}}}}}$

$\large { \tt : \implies \: \: \: \: \: total \: cost = ₹ 37\times 80}$

$\large { \tt : \implies \: \: \: \: \: total \: cost = ₹ 2960}$

• The total cost of fencing is ₹2960.

Answer 2

Given

• A square patch of land with side 20m.
• Rate of fencing per meter is Rs.37.

⠀

To find

• Cost of fencing the patch.

⠀

Solution

• Note: Whenever the question is related to fencing, we need to calculate the perimeter.

⠀

★ Formula used

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Perimeter_{(square)} = 4 \times side{\bigstar}}}}$

⠀

$\large{\tt{\longmapsto{Perimeter = 4 \times 20}}}$

⠀

$\large{\tt{\longmapsto{Perimeter = 80m}}}$

⠀

★ Now, it is given that rate of fencing 1 meter is Rs.37. Then cost of fencing the whole patch will be

$\tt:\implies\: \: \: \: \: \: \: \: {Cost = Rs(37 \times 80)}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Cost = Rs.2,960}$

⠀

Hence,

• Cost of fencing the patch is Rs.2,960.

━━━━━━━━━━━━━━━━━━━━━━