Kiana wants to cover a triangular area of her background with red, concrete patio stones. each stone costs $0.42 and covers 29.26 square inches. if the triangular area has a height of 8 feet and a width of 6 feet, what is the minimum number of stones that kiana should buy to cover the triangular area in her backyard? show your work.

1. The problem says that the stone covers 29.26 square inches. So, the first thing you must do, is to convert 29.26 square inches (in²) to square feet (ft²):

 1 in²=0.00694 ft², then:

 29.26x0.00694= 0.20 ft²

 2. The triangular area has the following surface: 

 A=bxh/2
 A=(6 ft)(8 ft)/2
 A=24.0 ft²

 3.  Finally, the number of stones (N) that cover the triangular area is:

 N= 24.0 ft²/0.20 ft²
 N=120 stones

  Kiana should buy 120 stones to cover the triangular area in her backyard.

 

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