Question

14pts
a composite shape of a rhombus, a parallelogram, and a triangle is shown.
*show all work!

• 2pts work shown
• 2pts. correct answer
• 2pts. correct total area

complete the table.
round to the nearest thousandth.

• all are units²!

shape	area
parallelogram	4pts
triangle	4pts
composite area (total)	2pts.

Explanation:

Step1: Calculate Rhombus Area

Area of rhombus = $\frac{1}{2} \times d_1 \times d_2$, where $d_1=6$, $d_2=6$
$\text{Area}_{\text{Rhombus}} = \frac{1}{2} \times 6 \times 6 = 18.000$

Step2: Calculate Parallelogram Area

Area of parallelogram = $b \times h$, where $b=6$, $h=3$
$\text{Area}_{\text{Parallelogram}} = 6 \times 3 = 18.000$

Step3: Calculate Triangle Area

Area of triangle = $\frac{1}{2} \times b \times h$, where $b=6$, $h=3$
$\text{Area}_{\text{Triangle}} = \frac{1}{2} \times 6 \times 3 = 9.000$

Step4: Calculate Composite Area

Sum of all individual areas
$\text{Area}_{\text{Composite}} = 18.000 + 18.000 + 9.000 = 45.000$

Answer:

Shape	Area (units²)
Parallelogram	18.000
Triangle	9.000
Composite Area (Total)	45.000