from Geometry Resources & Lesson PlansChapter 7 / Lesson 22
Question:How many square yards of carpet do you need for a room that is 12 feet by 8 feet?
Answer and Explanation:
10.68 yards. 'Yard' (yd) and 'foot' (ft) are units that measure the same quantity, length, so they can be converted into each other using conversion factors. 1 yard consists of 3 feet and so the given measurements can be converted to yards to yield the result in square yards (yd2). Hence:
12 feet = 12/3 yards = 4 yards
8 feet = 8/3 yards = 2.67 yards
Now, the area of the carpet can be given by:
Area = length × width
= 4 × 2.67
= 10.68 square yards
Hence 10.68 square yards of carpet is needed for the room.
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