Question 3
Consider the sequence of figures. The large square in every pattern has side length 10 cm. Successive inner squares are formed by joining the midpoints of the respective sides of the preceding square, as shown.
(a) Determine the area of the shaded region in each of Pattern 1, Pattern 2 and Pattern 3.
(b) If the pattern continues, determine the area of the shaded region in Pattern 10. The source labels “Pattern 1”, “Pattern 2”, “Pattern 3” name the three examples.
(a) Determine the area of the shaded region in each of Pattern 1, Pattern 2 and Pattern 3.
(b) If the pattern continues, determine the area of the shaded region in Pattern 10. The source labels “Pattern 1”, “Pattern 2”, “Pattern 3” name the three examples.