Question

if the area of rhombus is 28m ^2and it perimeter is 28m find the altitude

Answer 1

♧♧HERE IS YOUR ANSWER♧♧

♤♤METHOD♤♤

Let, s be each side of a rhombus and h be its altitude.

Then, area of the rhombus

= side × altitude

= s × h

Perimeter of the rhombus

= 4 × side

= 4 × s

♤♤SOLUTION♤♤

Given :

Area of the rhombus = 28 m²

=> s × h = 28 .....(i)

and

Perimeter of the rhombus = 28 m

=> 4 × s = 28 .....(ii)

Now, dividing (i) by (ii), we get :

h/4 = 1

=> h = 4 [by cross multiplication]

Therefore, altitude of the rhombus is 4 m.

ALSO, each side of the rhombus is determined from (i) as :

s × h = 28

=> s × 4 = 28

=> s = 7

So, each side of the rhombus is 7 m.

♧♧HOPE THIS HELPS YOU♧♧