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?

$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

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer