Question

the area of a parallelogram with Base 25cm and altitude 15cm is equal to the area of a rhombus whose one diagonal is 30cm. find the length of the other diagonal of the rhombus.

Answer 1

area of Parallelogram=area of rhombus
b*h=1/2*D1*D2
25*15=1/2*30*D2
D2=25

Answer 2

Given : Area of parallelogram = Area of Rhombus
ATQ,
(base)(height) = (1/2)(Diagonal 1)(Diagonal 2)
(25)(15) = (1/2)(30)(D2)
375 = 15×D2
D2 = 375/15
D2 = 25 cm
Therefore, the other diagonal of the rhombus is 25 cm long.