Area Ratio Problem: 9×2 Rectangle vs Triangle Comparison

To solve this problem, we'll calculate the area of the rectangle and the triangle, then find their ratio.

• First, calculate the area of the rectangle:
  The formula for the area of a rectangle is $\text{base} \times \text{height}$.
  With a base of $9$ and a height of $2$, the area is $9 \times 2 = 18$.

• Next, calculate the area of the triangle:
  The formula for the area of a triangle is $\frac{1}{2} \times \text{base} \times \text{height}$.
  With a base of $5$ and the same height of $2$, the area is $\frac{1}{2} \times 5 \times 2 = 5$.

• Find the ratio of the area of the triangle to the area of the rectangle:
  The ratio is $\frac{5}{18}$. Hence, the area of the rectangle is 18, and the area of the triangle is 5.

Therefore, the ratio between the area of the triangle and the area of the rectangle is 5:18.