Respuesta :
You will spend $4500 on wood to build the patio ⇒ D
Step-by-step explanation:
You are a contractor who is installing a new wooden patio
- The rectangular patio measures 120 feet long and 30 feet wide
- Each piece of wood is 72 inches by 4 inches
- 20 slabs of wood cost $50
We need to find how much you will spend on wood to build the patio
At first change the dimensions of the rectangular patio to inch
∵ 1 foot = 12 inches
∵ The dimensions of the patio are 120 feet long and 30 feet wide
∵ 120 feet = 120 × 12 = 1440 inches
∵ 30 feet = 30 × 12 = 360 feet
∴ The dimensions of the patio are 1440 in. long and 360 in. wide
Now we must find the number of pieces of wood that used to build the patio by dividing area of the patio by area of a piece of wood
∵ Area a rectangle = length × width
∵ The dimensions of a piece of wood are 72 in. and 4 in.
∴ Area of a piece of wood = 72 × 4 = 288 in.²
∵ The dimensions of the patio are 1440 in. and 360 in.
∴ Area of the patio = 1440 × 360 = 518400 in.²
- Divide the area of the patio by the area of a piece of wood
∴ The number of pieces of wood = 518400 ÷ 288
∴ The number of pieces of wood = 1800
∵ 20 slabs of wood cost $50
- Divide the number of the pieces of wood by 20 and multiply
the answer by 50 to find the cost of all pieces used to build
the patio
∵ 1800 ÷ 20 = 90
- Multiply 90 by 50
∴ The cost of the pieces of wood = 90 × 50
∴ The cost of the pieces of wood = 4500
You will spend $4500 on wood to build the patio
Learn more:
You can learn more about the word problems in brainly.com/question/13174281
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