Math, asked by powerrangers26, 9 months ago

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Answered by Anonymous
10

\huge\rm{GIVEN}

  • \rm{First\:Side\:of\:triangular\:Field = 120m}

  • \rm{Second\:of\:Triangular\:Field = 80m.}

  • \rm{Third\:Side\:of\:Triangular\:Field = 60m.}

  • There is a Gate of width 10m.

\huge\rm\blue{To\:Find}

\rm{The length of wire needed for fencing.}

  • The Cost of fencing at the rate of 6 Per meter.

  • The Area of Triangular field.

Perimeter of Triangle = Length of wire needed for fencing.

Atq.

  • \rm{Actual\:first\:Sides\:of\:triangle = 120-10 = 110m}

  • \rm{Actual\:Second\:side\:of \:Triangle = 80-10= 70m}

  • \rm{Actual\:Third\:side\:of\:triangle = 60- 10 = 50m}

Now,

➡️Perimeter of triangle = (a+b+c)

➡️Perimeter of triangle = 110+70+50 = 230m.

Hence, The length of wire needed for fencing is 230×2 = 460m.

Now,

➡️Cost of fencing at the rate of 6 per metre= 6

➡️Cost of fencing 460m = 460×6 =.2760rupees.

Now,

\implies\tt{Area\:of\:triangle=\sqrt{(s)(s-a)(s-b)(s-c)}}

Where,

\rm{S= \dfrac{Perimeter}{2}}

We will take original Sides of traingle

\rm{S=\dfrac{260}{2}}

\rm{S= 130}

\implies\tt{Area\:of\:\triangle=\sqrt{(130)(130-120)(130-80)(130-70)}}

\implies\tt{Area\:of\:\triangle=\sqrt{130\times{10}\times{50}\times{60}}}

\implies\tt{Area\:of\:\triangle=\sqrt{3900000}}

\implies\tt{Area\:of\:\triangle=1974.8m}

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