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

Answer:

$1983.78

Step-by-step 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,

$A= a \times b$, where 'A' is the area, 'a' is the and 'b' is the base of the parallelogram.

Putting the values we get,

$A = 9 \times 12$

$A = 108 ft^2$

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 = $0.007 \times 50 =0.35$ square ft

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

$\frac{108}{0.35} =308.57 \approx 309$ stones

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

$309 \times \ 6.42 = \ 1983.78$

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