Question

Reasoning  Your classmate composed the shaded triangle into a parallelogram. She found the area of the triangle to be 739.26 cm squared . Compose the shaded triangle into a second parallelogram. Use the new parallelogram to find the area of the shaded triangle. Are the areas the​ same? Use pencil and paper to explain your answer.
22.2 cm
66.6 cm
14.8 cm
99.9 cm
Question content area bottom
Part 1
Which figure shows another way to compose the triangle into a​ parallelogram?
A.
99.9 cm
14.8 cm
B.
99.9 cm
14.8 cm
Your answer is correct.C.
99.9 cm
14.8 cm
D.
99.9 cm
66.6 cm
22.2 cm
Part 2
Using the new​ parallelogram, the area of the shaded triangle is
  
enter your response here cm squared .

Answer 1

Part 1: B

Part 2:
Area = (1/2) × base × height = (1/2) × 99.9 × 14.8
99.9 × 14.8 = 1478.52, so area = 1478.52 / 2 = 739.26 cm².

Yes — the area is the same (739.26 cm²). Composing the triangle into a parallelogram just doubles the triangle, so the triangle’s area is always half the parallelogram’s area.