Question

The area of the Rhombus is 119 cm² and its perimeter is 56 cm.Find its height

Answer 1

Answer: 8.5 cm

Step-by-step explanation:

Given: The area of rhombus $=119\ cm^2$

The perimeter of rhombus $=56\ cm$

Let s be the side of rhombus, then the perimeter of rhombus=$4s=56$

⇒ s=14

Area of rhombus=$side\times height=119\ cm^2$

$\\\Rightarrow14\times height=119\\\Rightarrow\ height=\frac{119}{14}\\\Rightarrow\ height=8.5\ cm$

hence, the height of rhombus= 8.5 cm