Math New Drill (Level 1) : Geometry (Plane figure) SNJ00-1016-L1 Overlapping of squares

The figure below is a figure where three sheets of papers of the square whose length of one side is 12 cm are overlapping. 

The length of the perimeter of the figure is 80cm. 

Find the area of the part that 3 sheets of paper are overlapping.  







Answer
15 cm2

Solution
x = 12 - (5 + 4) = 3 cm 

5 + 4 + 12 = 21 cm 
21 × 2 + 12 × 2 = 66 cm 
(80 - 66) / 2 = 7cm 
y = 12 - 7 = 5 cm 
The area is 3 × 5 = 15 cm2