Q21 of 45 Page 11

The area of a rhombus is 84 m2. If its perimeter is 40 m, then find its altitude.

Given: Area of rhombus = 84 m2


Perimeter = 40 m


To find: The length of altitude


Formula Used:


Perimeter of rhombus = 4 × side


Area of parallelogram = base × height


Explanation:


As Perimeter of rhombus = 4 × side


Side of rhombus


Rhombus is a type of parallelogram,


Hence area of rhombus = area of parallelogram


⇒ Base× altitude = area of parallelogram


10 × altitude = 84


Altitude of rhombus = 8.4 m


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