1162 cm2
1163 cm2
1160 cm2
1161 cm2
Correct answer is A
Let the length of the sides of triangle be 2x, 3x and 4x.
Perimeter of triangle = 180cm
⇒ 2x+3x+4x=180
⇒ 9x=180
⇒ x=1809 = 20cm
Then the sides of the triangle are:
2x=2×20=40cm;3x=3×20 = 60cm and 4x = 4×20= 80cm
Using Heron's formula
Area of triangle = √s(s−a)(s−b)(s−c)
Where s = a+b+c2
Let a = 40cm, b = 60cm, c = 80cm and s = 40+60+802=1802 = 90cm
⇒ A = √90(90−40)(90−60)(90−80)=√90×50×30×10=√1350000
∴ A =1162cm2 (to the nearest cm2)
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