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A 3-foot-wide wood deck will be built around a rectangular-shaped pool that measures 15 feet by 30 feet. The resulting shape is also rectangular. If the lumber costs $10 per square yard, If the lumber costs 10 dollars per square yard, what is the cost of the wood for the deck?

Respuesta :

Answer:

$340

Step-by-step explanation:

We are told that the pool measures 15 feet by 30 feet,

Since the cost of the wood around it is per yards, let's convert this measurement to yards.

15 ft = 5 yards

30 ft = 10 yards

The deck is 3 ft wide. Converting to yards it is 1 yard.

Since the deck is round the pool, it means when we add it to the pool dimensions, we now have a dimension of; width: 7 yards by length: 12 yards

Thus, total area of pool and deck is;

A_t = 7 × 12 = 84 Sq.yds

Area of only pool is;

A_p = 5 × 10 = 50 Sq.yds

Finally, area of the deck will be;

A_d = 84 Sq.yds - 50 Sq.yds = 34 Sq.yds

We are told that the costs of the wood is $10 per Sq.yds

Thus, total cost is;

C = 10 × 34

C = $340

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