Question

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?

Answer 1

Answer: 120 stones

Explanation:

Answer 2

119 stones.

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 =
`(1)/(2)* (\text{Height})* (\text{Base})`

Area =
`(1)/(2)* 96* 72`

= 3456 inches²

Area of the stone = 29.26 inches²

Number of stones =
`\frac{\text{Area of the triangular area}}{\text{Area of a stone}}`

=
`(3456)/(29.26)`

= 118.223

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