Find the perimeter of the parallelogram if its area is 144 cm2, and its heights are 8 cm and 12 cm.

A parallelogram is a quadrangle with the same and parallel opposite sides. The area of a parallelogram is equal to the product of its side and the height drawn to this side. We know the heights drawn to each side and the area of the parallelogram. To find its sides, we divide the area by each of its height:

144/8 = 18 cm – large side of the parallelogram;

144/12 = 12 cm – the smaller side of the parallelogram;

Now let’s find the perimeter by adding all four sides:

P = 18 + 18 + 12 + 12 = 36 + 24 = 60 cm.

Answer: 60 cm