Question

calculator
find the area of the shaded region.
diagram of a right - angled rectangle with length 9, width 5, and a shaded triangle
5 square units

Explanation:

Step1: Identify the shape

The shaded region is a triangle. The base and height of the triangle can be determined from the rectangle. The base of the triangle is equal to the length of the rectangle (9) and the height is equal to the width of the rectangle (5).

Step2: Use the formula for the area of a triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. Substituting the values, we get $A = \frac{1}{2} \times 9 \times 5$.

Step3: Calculate the area

First, multiply 9 and 5: $9 \times 5 = 45$. Then, multiply by $\frac{1}{2}$: $\frac{1}{2} \times 45 = 22.5$.

Answer:

22.5