Understanding the Rhombus
A rhombus is a type of polygon that is a quadrilateral with all four sides of equal length. The area of a rhombus can be calculated using the formula:
Area = base × height
Here, the area is given as 360 cm² and the height is 16 m.
Convert Units
- The height must be in the same unit as the area.
- 1 m = 100 cm, so 16 m = 1600 cm.
Calculate the Base
- Using the area formula:
Area = base × height
- Rearranging gives:
base = Area ÷ height
- Plugging in the values:
base = 360 cm² ÷ 1600 cm = 0.225 cm
Finding the Side Length
In a rhombus, the base is the same as the length of one side.
- Since all sides are equal, each side is also 0.225 cm.
Calculate the Perimeter
- The perimeter of a rhombus is given by the formula:
Perimeter = 4 × side length
- Therefore:
Perimeter = 4 × 0.225 cm = 0.9 cm
Final Result
- The perimeter of the rhombus is 0.9 cm.
This is a very small perimeter, indicating either the height or area may have been misunderstood in the context, so verify the units and values for practical problems.