Questions: Question 13 of 25 (1 point) Question Attempt: 1 of 1 Time Remaining 3:33:09 -2 - 3 4 5 6 7 8 9 10 11 12 inches. (a) Find the area of the deck in square inches. Use the table of conversion facts, if needed. (b) Kareem wants to cover the deck with pebbles. He doesn't have any bags, which he might buy per cubic streets of pebbles. Each sheet of pebbles covers completely. How many sheets of pebbles are needed to completely cover the deck? (c) If each sheet of pebbles costs 950, how much will Kareem need to spend on pebbles? Conversion facts for length 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft)

Solution Steps

The dimensions of the deck are given as \(10\) ft in length and \(5\) ft in width. First, we convert these dimensions to inches: \[ \text{Length in inches} = 10 \, \text{ft} \times 12 \, \text{in/ft} = 120 \, \text{in} \] \[ \text{Width in inches} = 5 \, \text{ft} \times 12 \, \text{in/ft} = 60 \, \text{in} \] The area \(A\) of the deck in square inches is calculated as: \[ A = \text{Length} \times \text{Width} = 120 \, \text{in} \times 60 \, \text{in} = 7200 \, \text{in}^2 \]

Assuming each sheet of pebbles covers an area of \(100 \, \text{in}^2\), the number of sheets \(N\) required to cover the deck is: \[ N = \frac{\text{Total Area}}{\text{Area per Sheet}} = \frac{7200 \, \text{in}^2}{100 \, \text{in}^2} = 72.0 \, \text{sheets} \]

If each sheet of pebbles costs \(950\), the total cost \(C\) for the pebbles is: \[ C = N \times \text{Cost per Sheet} = 72.0 \, \text{sheets} \times 950 = 68400.0 \]

Final Answer