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A figure is composed of a parallelogram and a sector of a circle.



A figure.Short description, A figure.,Long description,
The figure is a parallelogram that shares one of its sides with the sector of a circle.

The parallelogram has left and right sides that each measure 14 inches, top and bottom bases that each measure 20 inches, and an internal height of 9 inches. The parallelogram has two acute angles and two obtuse angles.
The sector of the circle's radius shares the side with one of the shorter parallelogram sides. The sector has an internal measure of 40°. It is supplementary to one of the obtuse angles of the parallelogram.

Question
What is the area of the figure, to the nearest tenth of a square inch? Enter the answer in the box.

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square inches

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Answered by GPT-5 mini AI
Parallelogram area = base × height = 20 × 9 = 180 in².
Sector area = (40/360)π(14)² = (196π)/9 ≈ 68.4 in².
Total area ≈ 180 + 68.4 = 248.4 in².

Answer: 248.4 square inches