The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 20?
- Which pattern is formed with 282 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 20
= 20 x 4 + 2
= 82
(b)
Pattern number x 4 + 2 = 282
Pattern number x 4 = 282 - 2
Pattern number = 280 ÷ 4
Pattern number = 70
Pattern number formed with 282 squares = 70
Answer(s): (a) 82; (b) 70