Question

what is the area of δcde? area = square units

Explanation:

Step1: Identify base and height

From the graph, point \( C(-6, -1) \), \( D(-6, -9) \), \( E(0, -9) \). The base \( DE \) length: distance between \( D(-6, -9) \) and \( E(0, -9) \) is \( |0 - (-6)| = 6 \). The height \( CD \) length: distance between \( C(-6, -1) \) and \( D(-6, -9) \) is \( |-9 - (-1)| = 8 \).

Step2: Use triangle area formula

The formula for the area of a triangle is \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \). Substitute base \( = 6 \), height \( = 8 \): \( \text{Area} = \frac{1}{2} \times 6 \times 8 \).

Step3: Calculate the area

\( \frac{1}{2} \times 6 \times 8 = 3 \times 8 = 24 \).

Answer:

24