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2 years ago

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Matthew has 170 tiles he can use for this project. Identify the largest patio design that he can make. Show or explain your reas

oning.

1 answer:

ad-work [718]2 years ago

8 0

Answer:

Design 12

Step-by-step explanation:

See attached for missing part of the question

<u>As we see each design comprises of:</u>

Entrance and exit- each one tile
Design 1 has 1 row and 3 columns,
Design 2 has 2 rows and 4 columns,
Design 3 has 3 rows and 5 columns.

So design x has x rows and (x+2) columns.

<u>We can put it as equation to get 170 tiles:</u>

x(x+2) + 2 = 170
x² + 2x - 168 = 0

<u>Solving the quadratic equation we get:</u>

x = 12

<u>So design 12 has 12 rows, 14 columns, 1 entrance and 1 exit tiles.</u>

12*14 + 2 = 170

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Step-by-step explanation:

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$BF=\sqrt{41/2}units\\$ .

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