Question

The area of a rhombus is 500 sq cm and it's altitude is 25 cm . find the perimeter of the rhombus . ​

Answer 1

Step-by-step explanation:

Area of Rhombus =1/2*D1*D2

500=1/2*25*D2

500=12.5*D2

500=12.5d2

500/12.5=D2

40=D2

(D1 and D2 are the diagonals of rhombus. don't write this info)

side of rhombus = (hy)^2 = (one side)^2 + (other side)^2

(hy)^2 = (1/2 D1)^2 + (1/2 d2)^2

(hy)^2 = (25)2 + (40)^2

(hy^2) = 625 + 1600

(hy^2) = 2225

hy = √2225

hy = 47.16=4

side of rhombus = hy

side of rhombus = 47.16

perimeter of rhombus = 4a

= 4*47.16

= 188.64cm