Question

The cost of putting a fence around a square field at ₹3 per m is ₹120. The length of each side of the field is:
5 m
10 m
7.5 m
12 m​

Answer 1

Answer:

$\red\bigstar$ The Length of each side of the Square Field = 10m.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 10m}\put(4.4,2){\bf\large 10m}\end{picture}$

SOLUTION

✳ The Total Cost of fencing the square field = ₹ 120.

✳ The Rate of fencing the square field = ₹ 3 per m.

✩ Fencing is done along the perimeter .

$\sf Perimeter \: of \: the \: square \: field = \dfrac{Total \: Cost \: of \: fencing}{Rate \: of \: fencing}$

$\implies$

$\sf Perimeter \: of \: the \: square \: field = \dfrac{120}{3}$

$\implies$

$\sf Perimeter \: of \: the \: square \: field = 40m.$

Perimeter of The Square Field = 40m

Perimeter of a square = 4a (where a is the side of the square)

$\implies$

4a = 40

$\implies$

$\sf a = \dfrac{40}{4} = 10m.$

The Length of each side of the Square Field = 10m.

Answer 2

Answer:

1-600

2-1200

3-900

4-1440