A3-foot wife wood deck will be built around rectangular shaped pool that measures 15feet by 30feet. the resulting shape is also rectangular. if the lumber costs $10per square yard, what is the cost of the wood for the deck

Given:

Rectangular pool with dimensions = feet × feet

Width of the wooden deck to be built around the pool = feet

Cost of the lumber used for the deck = $ per square feet

To Find:

Cost of the wood for the deck.

Solution:

In this question, we will find the area of the wood used to build the deck first then the cost to build the deck can be calculated by using the formula,

Cost of the wood for the deck = Area of the deck × Cost of the wood

Area of the rectangular (inner rectangle) pool = Length × width

                                                                             = 15 × 30

                                                                             = 450 square feet

Width of the deck = 3 feet

Therefore, length of the outer rectangle = 30 feet + [2×(3)] feet

                                                                   = 36 feet

Similarly, width of the outer rectangle = 15 + [2×(3)]

                                                               = 21 feet

Area of the outer rectangle = Length × Width

                                              = 36 × 21

                                              = 756 square feet

Area of the wooden deck = Area of the outer rectangle - Area of the inner rectangle

= 756 - 450

= 306 square feet

Now cost of the wood used for the deck = 306 × 10

                                                                    = $3060

Therefore, cost of the wood used for the deck around the pool will be $3060

Learn more about the area around a rectangle from,

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$340

Step-by-step explanation:

The pool is 5 yards wide by 10 yards long, so adding the deck will make the total area 7 yards wide by 12 yards long, or ...

(7 yd)·(12 yd) = 84 yd^2

The pool itself is ...

(5 yd)·(10 yd) = 50 yd^2

so the area of the deck is ...

84 yd^2 -50 yd^2 = 34 yd^2

Wood for each of those square yards costs $10, so the total cost is ...

($10/yd^2)·(34 yd^2) = $340

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step-by-step explanation:

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