The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 12?
- Which pattern is formed with 350 squares?
(a)
Number of squares:
Pattern 1: 1 x 4 + 2 = 6
Pattern 2: 2 x 4 + 2 = 10
Pattern 3: 3 x 4 + 2 = 14
Formula:
Number of squares = Pattern number x 4 + 2
Number of squares in Pattern 12
= 12 x 4 + 2
= 50
(b)
Pattern number x 4 + 2 = 350
Pattern number x 4 = 350 - 2
Pattern number = 348 ÷ 4
Pattern number = 87
Pattern number formed with 350 squares = 87
Answer(s): (a) 50; (b) 87
