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The given figure shows a polygon drawn on graph paper. Every small square on the graph paper measures 1 unit × 1 unit. The area of the given polygon is ______ square units.

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answer is C.

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Detailed Solution

We know that the area of a closed figure is the number of square units enclosed by that figure.

It is given that length of the side of each small square on the graph is 1 unit.

∴Area of each small square on the graph = 1 square unit

It can be seen in the figure that the number of fully filled squares enclosed by the polygon is 23.

∴ Area of 23 fully filled squares = 23 × 1 square unit = 23 square units

Thus, the area of the given polygon is 23 square units.

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