Quadrilateral ABCD is a rhombus with perimeter 52 meters. The length of diagonal AC is 24 meters. What is the area in square meters of rhombus ABCD?

## Discussion Forum

### 2019 AMC 8 Question 4

Remember that a rhombus has $4$ sides that all have the same length. Thus since we know the perimeter we can find the length of each side.

We know that diagonal $AC$ has length $24$. What happens if we also draw diagonal $BD$ in the diagram? This divides the rhombus into 4 smaller shapes. What is nice about these shapes?