Q17 of 97 Page 790

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


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