Question

a parallelogram and Rhombus are equal in area the diagonals of a rhombus measure 120 and 44 M if one of the side of a parallelogram is 66 M find its corresponding altitude

Answer 1

Given Data -
_______________

♢ Diagonals of Rhombus

= 120 meters & 44 meters

♢ Side or Base of the parallelogram

= 66 meters
_______________

Note -
_______________

♢ “||gm” = Parallelogram

♢ Area of ||gm = (Base × Height)

♢ Area of Rhombus

= 1/2 × Product of Both diagonals
_______________

Solution -

Let's assume the height of the parallelogram as x meters

According to Question,

Area of Rhombus = Area of ||gm

1/2 × 120 × 44 = 66 × x

=> 2640 = 66 × x

=> 2640 / 66 = x

=> 40 = x

Hence, the corresponding Height of the parallelogram is 40 meters