Question

Deloris wants to cover a parallelogram-shaped area of her backyard with yellow, concrete patio stones. Each stone costs $6.42 and covers 50 square inches. The parallelogram-shaped area in the backyard has a height of nine feet and a base of 12 feet.

Answer 1

$1983.78

Explanation:

It is given that the height of parallelogram shaped area is 9 feet and the length of the base is 12 feet.

We know that the area of parallelogram is,

`A= a * b`, where 'A' is the area, 'a' is the and 'b' is the base of the parallelogram.

Putting the values we get,

`A = 9 * 12`

`A = 108 ft^2`

Now, it is given that each stone covers an area of 50 square inches, let us convert square inches into square ft, first.

1 square inch = 0.007 square ft

50 square inches =
`0.007 * 50 =0.35` square ft

So each stone covers 0.35 square ft, therefore to cover the area of 108 square ft, we need,

`(108)/(0.35) =308.57 \approx 309` stones

Each stone costs $6.42, so the cost of 309 stones will be,

`309 * \$6.42 = \$1983.78`

So the total cost of covering the parallelogram shaped area with yellow, concrete patio is $1983.78.