Question

A plinth 20m in length and 15 m in breadth was built a triangular farm having its sides 39 m., 42 m. and 45m. in length. Find the area of the remaining space of the farm.​

Answer 1

According to heron's formula A=

p(p−a)(p−b)(p−c)

p=

2

a+b+c

Area of the triangle with wheat=A

1

p

1

=

2

360+200+240

=400

A

1

=

400(400−200)(400−240)(400−360)

=

400(200)(160)(40)

=22627.417m

2

=2.26Hectares

Similarly, Area of triangle 2 is A

2

p

2

=

2

320+400+240

=480

A

2

=

480(480−240)(480−320)(480−400)

=

480(240)(160)(80)

=38400m

2

=3.84Hectares

Half of it is for onions=1.62Hectares, Other half is for potatoes=1.62Hectares