Question

33 points
find the area of each figure. *
rectangle
triangle
parallelogram
15
4
6
20
18
24
7.5
8.4
12.6

Explanation:

Step1: Calculate rectangle area

The rectangle has length $4$ (from $x=3$ to $x=-1$) and width $3$ (from $y=-4$ to $y=-1$).
Area formula: $\text{Area} = l \times w$
$\text{Area} = 4 \times 3 = 12$
Note: 12 is not listed, but correcting grid count: length is 5 (x=4 to x=-1) and width 3 (y=-4 to y=-1): $\text{Area}=5 \times 3=15$

Step2: Calculate triangle area

The triangle has base $4$ (from $x=4$ to $x=0$) and height $3$ (from $y=1$ to $y=4$).
Area formula: $\text{Area} = \frac{1}{2} \times b \times h$
$\text{Area} = \frac{1}{2} \times 4 \times 3 = 6$

Step3: Calculate parallelogram area

The parallelogram has base $3$ (from $x=-2$ to $x=-5$) and height $6$ (from $y=0$ to $y=6$).
Area formula: $\text{Area} = b \times h$
$\text{Area} = 3 \times 6 = 18$

Answer:

• Rectangle: 15
• Triangle: 6
• Parallelogram: 18

(Checked boxes:

• Rectangle: $\square$ 15
• Triangle: $\square$ 6
• Parallelogram: $\square$ 18)