Question

1. The sides of a triangular plot are in the ratio 3:5:7 and
its perimeter is 300 m. Find its area.
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Answer 1

The answer is 20 because 3x+5x+7x = 300

15x=300

X=300/15

Then on division

X will be 20m

Answer 2

let sides are 3x,5x,7x
perimeter of triangle
3x+5x+7x=300
15x=300
x=20

therefore sides are
A=3x=3×20=60
B=5x=5×20=100
C=7x=7×20=140

by heron formula
S=60+100+140/2
S=100

underooot S(S-A)(S-B)(S-C)
underoot 100(100-60)(100-100)(100-140)
underoot 100×40×-40
underoot -160000
40000

therefore area of triangular plot is 40000