Kiana wants to cover a triangular area of her backyard with red , concrete patio stones. Each stone cost 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 stone that kiana should buy to cover the triangular area in her backyard?

Respuesta :

Answer: 120 stones


Step-by-step explanation:


Answer:

119 stones.

Step-by-step explanation:

Triangular area of the backyard has the height = 8 feet and width = 6 feet

Since 1 foot = 12 inches

Therefore, height of the triangle will be 8×12 = 96 feet

and width of the triangle will be 6×12 = 72 feet

Now area of the triangular area = [tex]\frac{1}{2}\times (\text{Height})\times (\text{Base})[/tex]

Area = [tex]\frac{1}{2}\times 96\times 72[/tex]

        = 3456 inches²

Area of the stone = 29.26 inches²

Number of stones = [tex]\frac{\text{Area of the triangular area}}{\text{Area of a stone}}[/tex]

= [tex]\frac{3456}{29.26}[/tex]

= 118.223

She can not purchase a broken piece of stone therefore, minimum number of stones Kiana will purchase = 119.

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