The figure shown is a rectangle with a semicircle on each end. What is the area of the figure? Use 3.14 for 7 and round your answer to the nearest tenth.

9514 1404 393

  (c)  76.3 in^2

Step-by-step explanation:

From the offered selections, you can make an informed choice with a simple estimate.

The overall length of the figure is 8+6 = 14 inches, and its width is 6 inches. The area will be smaller than a 14 × 6 = 84 square inch rectangle, and larger than the central rectangle of 8 × 6 = 48 square inches.

The only choice in the range 48 to 84 square inches is the correct one:

  76.3 square inches

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If you'd like to figure it out, the area is the sum of the 48 square inch central rectangle and the (π/4)(36 in^2) ≈ 28.26 square inch circle. That total, rounded to tenths, is 76.3 square inches.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.