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Question

The perimeter of a triangular field is 420 m and its sides are in the ratio 6:7:8 Find area of the triangular field.

A
2100 sq m
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B
210015 sq m
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C
2000 sq m
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D
200015 sq m
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Solution

The correct option is C 210015 sq m
Let sides of are=6x,7x and 8x
Perimeter=6x+7x+8x=21x
21x=410
x=20
Sides are 120,140 and 160 m
Area =S(SA)(SB)(SC) [Heron's Formula]
S=120+140+1602=210 m
A=210(210120)(210140)(210160)
=210015 sq. m

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