Question

If cost rupee 5400 to fence a square field at rupee 13.50 metre . Find 1) The length of the side of the field 2) The area of the field​

Answer 1

ANSWERS:-

1)The length of the side of the field = 100 m.

2) The area of the field​ = 10000m².

 SOLUTION  

✳ Total Cost of fencing the square field = ₹5400.

✳ Rate of of fencing the square field = ₹13.50/m.

✩ Fencing is done along the perimeter of the field.

SIDES OF THE SQUARE

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

$\sf Perimeter \: of \: the \: square \: field = \dfrac{5400}{13.50}$

Perimeter of the Square Field = 400m.

Perimeter of Square = 4 × Side or 4a (where a are the sides)

$\implies$

4a = 400

$\implies$

$\sf a = \dfrac{400}{4} = 100m$

$\blue\bigstar$ The Sides of the Square Field (a) = 100m.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 100m}\put(4.4,2){\bf\large 100m}\end{picture}$

AREA OF THE FIELD

Area of Square = a² (where a are the side)

Here ,

Side(a) = 100m.

Area of the square field = (100)²

$\implies$

$\blue\bigstar$ Area of the square field = 10000m².