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Find the surface area of this figure.

Find the surface area of this figure.-example-1

1 Answer

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Answer:

592 in²

Explanation:

The surface area is the sum of the areas of the rectangles shown in the figure.

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The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...

A = LW = (12 in)(36 in) = 432 in²

The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...

A = 2(LW) = 2(8 in)(10 in) = 160 in²

The total surface area of the figure is (432 +160) in² = 592 in².

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