tile Eddie decides to construct a path across his rectangular grass lawn using pairs of tiles. Each tile is 10 cm wide and 20 cm long. The following diagrams show the path after Eddie has laid one pair and three pairs of tiles. This pattern continues until Eddie reaches the other side of his lawn. When n pairs of tiles are laid, the path has a width of w, centimetres and a length 1,, centimetres. The following diagrams show this pattern for one pair of tiles and for three pairs of tiles, where the white space around each diagram represents Eddie's lawn. n=1 T W, = 20 4₁ = 30 a tile 40 diagram not to scale n=3 The following table shows the values of w, and 1, for the first three values of n. Number of pairs of tiles, n Width of lawn crossed by path, w,, (cm) 1 20 2 3 W, = 40 Length of lawn crossed by path, 1,, (cm) 30 b 50 4₂ = 50

tile Eddie decides to construct a path across his rectangular grass lawn using pairs of tiles. Each tile is 10 cm wide and 20 cm long. The following diagrams show the path after Eddie has laid one pair and three pairs of tiles. This pattern continues until Eddie reaches the other side of his lawn. When n pairs of tiles are laid, the path has a width of w, centimetres and a length 1,, centimetres. The following diagrams show this pattern for one pair of tiles and for three pairs of tiles, where the white space around each diagram represents Eddie's lawn. n=1 T W, = 20 4₁ = 30 a tile 40 diagram not to scale n=3 The following table shows the values of w, and 1, for the first three values of n. Number of pairs of tiles, n Width of lawn crossed by path, w,, (cm) 1 20 2 3 W, = 40 Length of lawn crossed by path, 1,, (cm) 30 b 50 4₂ = 50

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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