How much of the whole does the shaded area (blue) represent?
How much of the whole does the shaded area (blue) represent?
To solve this problem, let's follow these steps:
Now, let's work through each step:
Step 1: Upon examining the diagram, we see the whole is a 4x5 grid, hence
There are rectangles in total.
The blue shaded area occupies the entire left-most column of this 4-column grid, so 4 rectangles are shaded.
Step 2: Calculate the fraction of the total area that is shaded:
The fraction of the shaded area is .
Simplifying this gives .
Step 3: Convert the fraction into a decimal:
Dividing 1 by 5 yields .
The correct representation of the shaded area is indeed a part of the larger rectangle, showing that simplified to and thus represents in decimal form.
Therefore, matching this with the given options, the shaded area represents or of the entire area.
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