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katen-ka-za [31]
2 years ago
9

A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

Answer:

  c.  2.4 yards

Step-by-step explanation:

If x is the width of the walkway, then the total landscape area is ...

  (4.5 +x)(7.5 +x) = 68.31

This quadratic equation can be rearranged to standard form and solved in any of the usual ways.

  (x +4.5)(x +7.5) -68.31 = 0

  x² +12x -34.56 = 0

Using the quadratic formula, we have ...

  x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4

The positive solution is x = 2.4.

The width of the walkway is 2.4 yards.

_____

A graphing calculator or spreadsheet solver can also find the solution for you.

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