The area of a rhombus is 72 cm2. It its perimeter is 32 cm, find the altitude

To find the altitude of the rhombus, we need to use the formulas for the area and the perimeter of a rhombus.

The formula for the area of a rhombus is: Area = (base * height) / 2 The formula for the perimeter of a rhombus is: Perimeter = 4 * side

Given that the area is 72 cm^2 and the perimeter is 32 cm, we can find the length of the side of the rhombus by dividing the perimeter by 4. So, the side of the rhombus is 32 cm / 4 = 8 cm.

Now, we can substitute the values of the area and the side into the formula for the area to find the height.

So, 72 cm^2 = (8 cm * height) / 2 Solving for height, we get: height = (72 cm^2 * 2) / 8 cm = 18 cm

So, the altitude of the rhombus is 18 cm.