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Noah has some white square tiles and some blue square tiles. They are all the same size. He first makes a row of white tiles and then surrounds the white tiles with a single layer of blue tiles, as shown in Figure
How many blue tiles does he need:
a. to surround a row of
b. to surround a row of
(a)
To find:
Number of blue tiles needed to surround hundred white tiles by a single layer of blue tiles.
Answer to Problem 1NT
Solution:
Number of blue tiles needed to surround hundred white tiles is
Explanation of Solution
Given:
All tiles are of same size. A row of white tiles is surrounded by a single layer of blue tiles.
Approach:
Number of blue tiles needed will be sum of two times number of white tiles and six tiles on the sides.
Calculation:
Number of white tiles
Number of blue tiles needed to surround hundred white tiles,
Hence,
(b)
To find:
Number of blue tiles needed to surround n white tiles by a single layer of blue tiles.
Answer to Problem 1NT
Solution:
Number of blue tiles needed to surround hundred white tiles is
Explanation of Solution
Given:
All tiles are of same size. A row of white tiles is surrounded by a single layer of blue tiles.
Approach:
Number of blue tiles needed will be sum of two times number of white tiles and six tiles on the sides.
Calculation:
Number of white tiles
Number of blue tiles needed to surround n white tiles,
Hence,
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