Question

A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the || gm is 66 m long, find its corresponding altitude.

Answer 1

Area of the rhombus = \(\frac{1}{2}\)(Product of diagonals) = \(\frac{1}{2}\)(120 x 44) = 2640 m²

Area of the parallelogram = Base x Height = 66 x Height

Given:

The area of the rhombus is equal to the area of the parallelogram.

Thus, we have

66 x Height = 2640

\(\Rightarrow Height =\frac{2640}{66}=40\,m\)

∴ Corresponding height of the parallelogram = 40 m