How do you convert 684 feet to yards to buy carpet?

Answer 1

3 ft = 1 yd

→ 684 ft = 684 ÷ 3 yd = 228 yd

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However, I'm not entirely convinced that is the answer you want or need.

Carpet is bought by the square yard (was in the UK - it is now bought by the square metre in the UK) so it may be that your measurement of 684 ft is actually incorrect in that it should be 684 square feet:

1 sq yd = 1 yd × 1 yd = 3 ft × 3 ft = 9 sq ft

→ 684 sq ft = 684 ÷ 9 sq yd = 76 sq yd

This is WHY is it important to be specific in units in mathematics.

But that is not the end of the story...

You have to buy a strip across the whole roll of carpet which can be something like 4 or 5 yards wide.

So your 76 sq yds from a roll of carpet:

• 4 yards wide will be 76 sq yd ÷ 4 yd = 19 yards long
• 5 yards wide will be 76 sq yd ÷ 5 yd = 17⅕ yards = 17 yd 7⅕ inches long

But you may have taken that into account when you first measured up and calculated you need a piece of carpet 684 ft long from a specific roll of carpet, so you will need a piece 228 yards long (as first calculated above), but for the total cost of that piece you will need to multiply it by the width of the roll (to get the area of the piece in square yards) and multiply that by the cost (per square yard) of the carpet.

However, the store may be selling the carpet per yard of the roll, having themselves calculated the equivalent of cost per square yard, in which case the cost is now 228 yd times the cost per yard.

Answer 2

684 ÷ 3 = 228 yards.
Note: there are 3 feet in 1 yard.

Answer 3

A length of 684 feet is a length of 228 yards.