Question

A farmer has a square field with side 30 m long .He decides to put fence around it. The fencing cost for 1 m is rupees 57 .How much will be the fencing cost all around the square field ​

Answer 1

Answer:-

★ Given:

• Side of square = 30m

• Rate of fencing field = ₹57 per m

★ To Find:

• Cost of fencing all around the field.

★ Solution

➣ Finding perimeter of square field

Perimeter of square

= 4 × Side

= 4 × 30

= 120m

∴ Perimeter of square field = 120 m

➣ Finding cost of fencing the field

Cost of fencing

= Perimeter of field × Rate of fencing

= 120 × 57

= ₹6840

∴ Cost of fencing all around the field is ₹6840.

★ Formula to be remembered:-

▪Perimeter of square = 4 × Side

▪Perimeter of rectangle = 2 (length + breadth)

▪Perimeter of triangle = Sum of all sides

▪Area of square = Side × Side

▪Area of rectangle = length × breadth

▪Area of triangle = ½ × Base × Height

Or

By Heron's Formula

Answer 2

Step-by-step explanation:

${\large{\bold{\rm{\underline{Let's\ understand\ the\ concept\ 1^{st}:-}}}}}$

★ This question says that a farmer has a square field with side 30m. The fencing cost for 1m is Rs.57. As the perimeter of the square field is not given. So here we use the concept of perimeter of square and find the perimeter. After having the perimeter of the square field we easily find out the cost of fencing by multiplying the perimeter of square field with the rate of fencing the field. So let's do....!!!

${\large{\bold{\rm{\underline{Given\ that:-}}}}}$

$\sf {\bigstar Side\ of\ the\ square\ field\ =\ 30m.}$

$\sf {\bigstar Rate\ of\ fencing\ the\ field\ =\ Rs.57.}$

${\large{\bold{\rm{\underline{To\ find:-}}}}}$

★ In this question we have to find the cost of fencing all around the field.

${\large{\bold{\rm{\underline{Using\ formula:-}}}}}$

$\star\;\underline{\boxed{\bf{\orange{Perimeter\ of\ square\ =\ 4 \times side.}}}}$

~Where,

• Perimeter = ?
• Side = 30.

${\large{\bold{\rm{\underline{Solution:-}}}}}$

★ The cost of fencing all around the field is Rs.6840.

${\large{\bold{\rm{\underline{Full\ solution:-}}}}}$

$\sf : \implies {Perimeter\ of\ square\ field\ =\ 4 \times side}$

$\sf : \implies {Perimeter\ of\ square\ field\ =\ 4 \times 30}$

$\sf : \implies {Perimeter\ of\ square\ field\ =\ \bf 120m.}$

∴ Hence, the perimeter of the square field is 120m.

~Since, we have to find out the cost of fencing all around the field. Now we have the perimeter of the square field that is 120m. So to find the cost of fencing we multiply the perimeter of square field with the rate of fencing the field.

$\sf : \implies {Cost\ of\ fencing\ =\ Perimeter\ of\ field \times Rate\ of\ fencing}$

$\sf : \implies {Cost\ of\ fencing\ =\ 120 \times 57}$

$\sf : \implies {Cost\ of\ fencing\ =\ \bf Rs.6840.}$

∴ Hence, the cost of fencing all around the field is Rs.6840.

${\large{\bold{\bf{\underline{\underline{More\ to\ know:-}}}}}}$

● Diagram of square:

$\setlength{\unitlength}{2mm}\begin{picture}(10,10)\linethickness{0.5mm}\put(6,2){\dashbox{0.01}(15,15)}\put(3,0){\bf D}\put(3,18){\bf A}\put(23,18){\bf B}\put(23,0){\bf C}\end{picture}$

$\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \leadsto {Area\ of\ square\ =\ Side \times Side.}$

$\bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \leadsto {Perimeter\ of\ square\ =\ 4 \times Side.}$