Based on your wording, 4 cm could be the slanted height or the vertical height.
.._______
./............./4cm
/______ /
or
..._______
./|...........| /
/ |__4cm.|/
However, since the top rhombus's area cannot be solved with this information (you need the angle of slant), I will assume that your problem refers to the bottom picture (the vertical straight lines are the height).
You might notice that the triangle on the right and the triangle on the left appear to be the same, and you would be right. If you actually move the triangle, you get a 4cm x 4cm square, and we can now calculate the area.
A = ss (area of a square)
A = (4cm)2 = 16cm2
Therefore, the rhombus has an area of 16 square centimeters, or cm2.
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Since a rhombus has sides of equal length, you appear to be asking about the areas of three different sizes of rhombus.A square with a side of 10 centimeters has an area of s^2 = 100 square centimeters.Similarly, squares with sides of 16 centimeters and 8 centimeters have areas of 256 and 64 square centimeters, respectively.
The area of a rhombus is calculated by multiplying the base x the vertical height.
Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
Area = 9 cm * 4 cm = 36 square cm
The area of rectangle is : 100.0