Find the area of the given geometric figure

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05-01-2022
Mathematics

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Find the area of the given geometric figure

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-01-09T17:03:11-05:00

Answer:

48 mi²

Step-by-step explanation:

Extending the center vertical line to the bottom edge of the figure causes it to divide the figure into two rectangles. One is 7 mi high by 4 mi wide; the other is 2 mi high by (14 -4) = 10 mi wide.

The area of each is the product of its height and width, so the total area is ...

A = (7 mi)(4 mi) +(2 mi)(10 mi) = 28 mi² +20 mi² = 48 mi²

The area of the given geometric figure is 48 mi².

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