A T-shaped block consists of 4 squares of 1 cm² each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.

1. Find the perimeter of the pattern that consists of 23 blocks.
2. If a pattern has a perimeter of 98 cm, find the number of squares that makes up the pattern.

(a)
Pattern for the perimeter
1 block: 1 x 4 + 6 = 10
2 blocks: 2 x 4 + 6 = 14
3 blocks: 3 x 4 + 6 = 18

Perimeter = Number of blocks x 4 + 6

Perimeter of a pattern that consists 23 blocks
= 23 x 4 + 6
= 98 cm

(b)
Perimeter = Number of blocks x 4 + 6
Number of blocks = (Perimeter - 6) ÷ 4

Number of blocks that makes up a pattern which has a perimeter of 98 cm
= (98 - 6) ÷ 4
= 92 ÷ 4
= 23

Patterns for the number of squares
1 block: 1 x 4 = 4
2 blocks: 2 x 4 = 8
3 blocks: 3 x 4 = 12

Number of squares = Number of blocks x 4

Number of squares for a pattern that consists of 23 blocks
= 23 x 4
= 92

Answer(s): (a) 98 cm; (b) 92