Math, asked by sakshi5691, 1 year ago

N a rectangular field of dimensions 60m x 50m, a triangular park is constructed. If the dimensions of the park is 50 m,45m and 35 m, find the area of the remaining field.(ans- 2235.15 m2 )

Answers

Answered by snehanavale78
188
Finding the area of remaining field we have to calculate the area of rectangular field and area of triangular park
when we have found the both ,
then ,

Area of remaining field = area of rectangular park -area of triangular field


so to find the area of rectangular field ,
Area of rectangular field = length × breadth
Area of rectangular field =60m×50m
Area of rectangular field =3000m

then the area of triangular park,
Area of traingular park =
 \sqrt{s(s - a)(s - b)(s - c)}
where as ,
s= sum of all sides of triangle
and a,b,c is the side of triangle
this formula is also known as ~hero's formula~
therefore
sum of all side of triangle/2=
50m+45m+35m
=130/2
=65m

now substitute this value in formula ,
we get as
 \sqrt{65(65 - 50)(65 - 45)(65- 35)}
=764.85m

therfore,
Area of remaining field=area of rectangular park -area of triangular field
Area of remaining field=3000m-764.85
Area of remaining field=2235.14m


this is area of remaing field 2235.14m

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Answered by mittalprince2005
60

Answer:

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