A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one if the sides of the ll gm is 66 m long, find its corresponding altitude.
Given:
Diagonal 1 (d1) of rhombus = 120 m
Diagonal 2 (d2) of rhombus = 44 m
Side of parallelogram = 66 m
Area of rhombus = 1/2 × d1 × d2
= 1/2 × 120 m × 44 m
= 2640 m2
Now,
Area of parallelogram = Base × Height
⇒ 2640 m2 = 66 m × Height
⇒ Height = 40 m