Question

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Part 1
Reasoning  Your classmate composed the shaded triangle into a parallelogram. He found the area of the triangle to be 365.04 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.
15.6 cm
46.8 cm
10.4 cm
70.2 cm
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Part 1
Which figure shows another way to compose the triangle into a​ parallelogram?
A.
70.2 cm
10.4 cm
B.
70.2 cm
10.4 cm
C.
70.2 cm
10.4 cm
D.
70.2 cm
46.8 cm
15.6 cm

Answer 1

Answer: A

Explanation:
- If you compose the triangle into a parallelogram with base 70.2 cm and height 10.4 cm, the parallelogram area is 70.2 × 10.4 = 730.08 cm². The triangle is half of that, so its area is 730.08 ÷ 2 = 365.04 cm².
- (Note: the other pair 46.8 × 15.6 also equals 730.08, so composing the triangle the first way your classmate used or this second way gives the same triangle area.)