Asked by A
3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.
How can you decompose the composite figure to determine its area?
as three triangles and a circle
as two triangles, a rectangle, and a circle
as a triangle, a pentagon, and a semicircle
as a triangle, a rectangle, and a semicircle
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GPT-5 mini
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Answer: as a triangle, a rectangle, and a semicircle.
Reason: the top part is a triangle, the middle connector is a rectangle, and the bottom is a semicircle. Its area is the sum:
A = A_triangle + A_rectangle + A_semicircle
= (1/2)·base·height + base·height + (1/2)·π·r^2
(using the appropriate base/height and semicircle radius from the figure).
Reason: the top part is a triangle, the middle connector is a rectangle, and the bottom is a semicircle. Its area is the sum:
A = A_triangle + A_rectangle + A_semicircle
= (1/2)·base·height + base·height + (1/2)·π·r^2
(using the appropriate base/height and semicircle radius from the figure).
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