Question

44 points
find the area of each figure. *

kite
trapezoid
rhombus
circle
6
12
32
24
18
16
30
21
37

Explanation:

Step1: Calculate Kite Area

Use kite area formula: $\text{Area} = \frac{d_1 \times d_2}{2}$. Diagonals: $d_1=6$, $d_2=4$.
$\text{Area} = \frac{6 \times 4}{2} = 12$

Step2: Calculate Trapezoid Area

Use trapezoid area formula: $\text{Area} = \frac{(b_1 + b_2)h}{2}$. Bases: $b_1=8$, $b_2=4$; height $h=4$.
$\text{Area} = \frac{(8 + 4) \times 4}{2} = 24$

Step3: Calculate Rhombus Area

Use rhombus area formula: $\text{Area} = \frac{d_1 \times d_2}{2}$. Diagonals: $d_1=6$, $d_2=6$.
$\text{Area} = \frac{6 \times 6}{2} = 18$

Step4: Calculate Circle Area

Use circle area formula: $\text{Area} = \pi r^2$. Radius $r=3$, use $\pi \approx \frac{22}{7}$.
$\text{Area} = \pi \times 3^2 = 9\pi \approx 28.29$, closest value is 30.

Answer:

Figure	Area
Trapezoid	24
Rhombus	18
Circle	30

(Checked boxes: Kite - 12, Trapezoid - 24, Rhombus - 18, Circle - 30)