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Find the area of the figure

Please help :)

Find the area of the figure Please help :)-example-1

1 Answer

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9514 1404 393

Answer:

66.5 cm²

Explanation:

A horizontal line at the "knee" on the right will divide the figure into a 4 cm by 2 cm rectangle, and a trapezoid with bases 4 cm and 9 cm, and height 11-2 = 9 cm. Then the total area of the figure is ...

A = LW + 1/2(b1 +b2)h

A = (4 cm)(2 cm) + (1/2)(4 cm +9 cm)(9 cm) = 8 cm² +58.5 cm²

A = 66.5 cm² . . . . area of the figure

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