Answer:
3/2 cm^2 or 1.5 cm^2
Step-by-step explanation:
Remark
This is another one of those very poorly design questions where a lot is taken for granted. There is nothing to show the the black square has an area of 1/4 square cm. or the white square is 1/2 cm^2. You are left to speculate, and you should never have to guess a dimension from a diagram.
That said here are the assumptions
- Each side of the square = Perimeter / 4. That's because the perimeter is 8 and each of the 4 sides is 2 cm. because 8/4 = 2
- That's the only thing that you can conclude for certain.
- It looks like the white rectangles have a length that totals 2. Therefore each one must be 1 cm long.
- The width of the white square must be 1/2 the width of a side divided by 2. That's because The grey square takes up 1/2 the with of the side and the white square is 1/2 of what is left over.
White square area = L * W
L = 1 (which comes from 1/2 of 2)
W = 1/2
Area = 1 * 1/2 = 1/2
There are two them them so their area = 1
The black squares are 1/2 * 1/2 = 1/4 square cm. There are two of them so their total area = 1/2 square cm.
Total of the white and black squares = 1 + 1/2 = 1 1/2 or 3/2 square cm.
