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The Smiths plan to recarpet their family room, which measures [tex]15 \text{ ft}[/tex] by [tex]20 \text{ ft}[/tex]. How many square yards of carpet are needed?

A. [tex]33 \frac{1}{3}[/tex]
B. 300
C. 307

Sagot :

GinnyAnsweridn
Sure, let's go through the problem step-by-step.

1. Identify the dimensions of the room:
- Length: 15 feet
- Width: 20 feet

2. Calculate the area of the room in square feet:
- Area = Length × Width
- Area = 15 feet × 20 feet = 300 square feet

3. Convert the area from square feet to square yards:
- We know that 1 square yard is equivalent to 9 square feet.
- To find the number of square yards, we divide the area in square feet by 9.
- Area in square yards = 300 square feet / 9 = 33.333...

So, the area of the room is 300 square feet, which is equivalent to approximately 33 and 1/3 (or 33.33) square yards.

Therefore, the Smiths will need 33 and 1/3 (approximately 33.33) square yards of carpet to recarpet their family room.
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