Question

In a rectangular field of dimensions 60m X 50m, a triangular park is constructed. If the dimensions of the park is 51m , 37m and 20 m , find the area of the remaining field.
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Answer 1

Answer:

area=l×b

Step-by-step explanation:

hope this helps you

Answer 2

Answer:

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 =

s(s−a)(s−b)(s−c)\sqrt{s(s - a)(s - b)(s - c)}

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

65(65−50)(65−45)(65−35)\sqrt{65(65 - 50)(65 - 45)(65- 35)}

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