The large square above has area 1 and is divided into 25 squares of equal area. Which of the following represents the area of the shaded region?
The area of the shaded region is 0.32.
The large square, with an area of 1, is divided into 25 equal smaller squares. Therefore, each smaller square has an area of 1/25 or 0.04. The shaded region contains 8 of these smaller squares, so the total area of the shaded region is 8 * 0.04 = 0.32.
This value would represent the area of 20 small squares (0.8/0.04), not the 8 small squares that make up the shaded region.
This value would represent the area of 4 small squares (0.16/0.04), which is half the number of squares in the shaded region.
This value would represent the area of 6 small squares (0.24/0.04), which is two squares less than the total number of squares in the shaded region.
This value correctly represents the area of 8 small squares (0.32/0.04), which is the exact number of squares in the shaded region.
The large square has an area of 1 and is divided into 25 equal smaller squares, each with an area of 0.04. The shaded region contains 8 of these smaller squares, hence the total area of the shaded region is 8 * 0.04 = 0.32. Consequently, the choices A), B), and C) represent the areas of fewer than 8 squares and are therefore incorrect.
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