4. The perimeter of a triangle is 180cm
and its sides are in the ratio 2:3:4 . Find
the area of the triangle,
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Answer:
Let side of the park be, a=5x,b=6x,c=7x
also, 2s=180m,
s=90m
now, a+b+c=180
5x+6x+7x=180
x=10
∴a=50m,b=60mbc=70m
Area of park=
90(90−50)(90−60)(90−70)
=
90×40×30×20
=
3×30×2×20×30×20
=20×30
6
=600
6
m
2
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