Mathematics Question and Solution
Notice.
64 cm is the perimeter of the square.
Therefore, calculate a, the side length of the square.
a = ¼(64)
a = 16 cm.
b = 16-11.5
b = 4.5 cm.
c = 16-10
c = 6 cm.
It implies;
Area purple-shaded region is;
Area square with side 16 cm - Area triangle with height and base 16 cm and 4.5 cm respectively - Area triangle with height and base 16 cm and 6 cm respectively.
= (16*16)-½(16*4.5)-½(16*6)
= 256-36-48
= 256-84
= 172 cm²
