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Question: If the area of each cell in the grid is 1 square unit, what is the area of the non-shaded region in the figure?



A ) 64 square units
B ) 4 square units
C ) 40 square units
D ) 24 square units

Steps to derive

1 Area of the non-shaded region = Total number of cells in the grid - Area of shaded region.

2 Area of the shaded region = Number of cells in the shaded region × Area of each cell in the grid
 [There are 40 shaded cells in the grid.]

 [Substitute the values.]
3 = 40 × 1

 [Multiply.]
4 = 40

5 The area of the shaded region in the figure is 40 square units.

6 Therefore, Area of non-shaded region = 64 - 40 = 24 square units.
 [Total number of cells = 64.]



Hence the right answer is Option D

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