Given the tiled figures, answer the following questions Fig. 1 Fig.2 Fig. 3 Fig.

Question

Given the tiled figures, answer the following questions Fig. 1 Fig.2 Fig. 3 Fig.4 a. The table of values described the perimeter of each figure in the pattern of blue tiles. The perimeter, P, is a function of the number of tiles, t Complete the table for each tiled figure with respect to number of tiles and the outside perimeter. Number of tiles, t 5 erimeter, P(t) b. Determine the equation of the function which relates the number of tiles, t, to the perimeter, P(t). P(t) c. Using any method, determine the number of tiles for a figure with a perimeter of 66. The number of tiles is

Explanation / Answer

for number of tiles 2

perimeter = 6

therefore , each outer side represents unit 1

hence , for number of tiles 1

perimeter = 4

for number of tiles 3

perimeter = 8

for number of tiles 4

perimeter = 10

for number of tiles 5

perimeter = 12

b) equation

P(t) = 2t + 2

c) 66 = 2t +2

66-2 = 2t

64 = 2t

t = 32

for perimeter 66 number of tiles = 32

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