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Sarita has a triangles field with …

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Sarita has a triangles field with sides 240m, 200m,360m
  • 1 answers

Gaurav Seth 3 years, 11 months ago

Area of the field used for Wheat is 2.2 hector , for Potato is 1.7 hector and for onion is 1.7 hector.

 

Given:

Length of the triangular field for wheat = 240 m , 200 m , 360 m

Length of the triangular field for potato & onion = 240 m , 320 m , 400 m

To find: Area of the filed used for Wheat , Potato and Onion .

 

we use Heron's formula to find area of triangle.

s is semi perimeter  and a , b, c are side,

 

For first field,

let, a = 240 , b = 200 , c = 360

s = 240+200+360/2 = 800/2 = 400 m

Area of field 

                   

                   

                   

1 hector = 10000 m²

So, 16000√2 m² = 22627.4 m² = 2.2 hector

 

For second field,

let, a = 240 , b = 320 , c = 400

s = 240+320+400/2 = 960/2 = 480 m

Area of field 

                   

                   

                   

 

Second field is divided in 2 equal areas.

So, Area of Potato = Area of Onion = 19200√3/2 = 9600√3 m² = 16627.69 m² = 1.7 hector

 

Therefore, Area of the field used for Wheat is 2.2 hector , for Potato is 1.7 hector and for onion is 1.7 hector.

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