JAMB Mathematics 2023 Paper

Let the length of the sides of triangle be 2x, 3x and 4x.

Perimeter of triangle = 180cm

⇒ 2x+3x+4x=180

⇒ 9x=180

⇒ x=

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 =

Let a = 40cm, b = 60cm, c = 80cm and s =

⇒ A = √90(90−40)(90−60)(90−80)=√90×50×30×10=√1350000

∴ A =1162cm‌2 (to the nearest cm2)