Aflower garden has been designed with an l-shaped walkway and viewing area around two sides as shown.
the garden itself is 4.5 yatds by 7.5 yards. the total area need to build this landscape design is 68.31 square yards. what is the width of the walkway?
a. 1.2 yards
b. 2.02 yards
c. 2.4 yards
d. 4.8 yards

  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.

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

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