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Posted by Arun J 3 years, 11 months ago
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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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