Conversion between yards, feet and inches examples with solutions are presented including more More questions with solutions .

The relationships between \( \text{ yards (yd)} \) , \( \text{ feet (ft)} \) and \( \text{ inches (in)} \) are given by

\( 1 \text{ yard (yd)} = 3 \text{ feet (ft)} \)

\( 1 \text{ foot (ft)} = 12 \text{ inches (in)} \)

\( 1 \text{ yard (yd)} = 36 \text{ inches (in) } \)

Example 1

Convert \( 7 \text{ ft} \) to \( \text{ in} \).

__ Solution to Example 1 __

Since \( 1 \text{ ft} = 12 \text{ in} \) (given in table of conversion above), substitute \( \text{ft} \) by \( 12 \text{ in} \) the given "\( 7 \text{ ft} \)" and multiply as follows

\( 7 \text{ ft} = 7 \times 12 \text{ in} \)

Evaluate

\( 7 \text{ ft} = ( 7 \times 12) \text{ in} = 84 \text{ in} \)

\( 7 \text{ ft} = 7 \times 12 \text{ in} \)

Evaluate

\( 7 \text{ ft} = ( 7 \times 12) \text{ in} = 84 \text{ in} \)

Example 2

\( 5 \text{ yd} \) to \( \text{ ft} \).

__ Solution to Example 2 __

Since \( 1 \text{ yd} = 3 \text{ ft} \) (given in table of conversion above), substitute \( \text{ yd} \) by \( 3 \text{ ft} \) in the given "\( 5 \text{ yd} \)" and multiply

\( 5 \text{ yd} = 5 \times 3 \text{ ft} \)

Evaluate

\( 5 \text{ yd} = (5 \times 3) \text{ ft} = 15 \text{ ft} \)

Example 3

\( 12 \text{ ft} \) to \( \text{ yd} \).

__ Solution to Example 3 __

from the table of conversion above, \( 1 \text{ yd} = 3 \text{ ft} \). Write \( 12 \text{ ft} \) as a multiple of \( 3 \text{ ft} \) as follows

\( 12 \text{ ft} = 4 \times (3 \text{ ft}) \)

Substitute \( 3 \text{ ft} \) by \( \text{ yd} \) and write

\( 12 \text{ ft} = 4 \text{ yd} \)

\( 12 \text{ ft} = 4 \times (3 \text{ ft}) \)

Substitute \( 3 \text{ ft} \) by \( \text{ yd} \) and write

\( 12 \text{ ft} = 4 \text{ yd} \)

Example 4

Convert \( 36 \text{ in} \) to \( \text{ ft} \).

__ Solution to Example 4 __

Since \( 1 \text{ ft} = 12 \text{ in} \) (from the table of conversion above), write \( 36 \text{ in} \) as a multiple of \( 12 \text{ in} \).

\( 36 \text{ in} = 3 \times ( 12 \text{ in} ) \)

Substitute \( 12 \text{ in} \) by \( \text{ ft} \)

\( 36 \text{ in} = 3 \text{ ft} \)

\( 36 \text{ in} = 3 \times ( 12 \text{ in} ) \)

Substitute \( 12 \text{ in} \) by \( \text{ ft} \)

\( 36 \text{ in} = 3 \text{ ft} \)

Example 5

Convert \( 17 \text{ ft} \) to \( \text{ yd} \) and \( \text{ ft} \).

__ Solution to Example 5 __

From table of conversion above, \( 1 \text{ yard (yd)} = 3 \text{ feet (ft)} \), we therefore need to write \( 17 \text{ ft} \) as a multiple of \( 3 \text{ ft}\) if possible using division.

The division of \( 17 \) by \( 3 \) gives \( 5 \) and a remainder equal to \( 2 \). Hence

\( 17 = 5 \times 3 + 2 \)

which may be used to write

\( 17 \text{ ft} = 5 × (3 \text{ ft}) + 2 \text{ ft} \)

Substitute \( 3 \text{ ft} \) by \( \text{ yd} \) and write

\( 17 \text{ ft} = 5 \text{ yd} + 2 \text{ ft} \)

which may also be written as

\( 17 \text{ ft} = 5 \text{ yd} \; \; 2 \text{ ft} \)

The division of \( 17 \) by \( 3 \) gives \( 5 \) and a remainder equal to \( 2 \). Hence

\( 17 = 5 \times 3 + 2 \)

which may be used to write

\( 17 \text{ ft} = 5 × (3 \text{ ft}) + 2 \text{ ft} \)

Substitute \( 3 \text{ ft} \) by \( \text{ yd} \) and write

\( 17 \text{ ft} = 5 \text{ yd} + 2 \text{ ft} \)

which may also be written as

\( 17 \text{ ft} = 5 \text{ yd} \; \; 2 \text{ ft} \)

Example 6

Convert \( 21.4 \text{ ft} \) to decimal \( \text{ yd} \) and round the answer to two decimal places.

__ Solution to Example 6 __

From table of conversion \( 1 \text{ yd} = 3 \text{ ft} \).

The number of \( \text{ yd} \) in \( 21.4 \text{ ft} \) is found by division as follows

\( 21.4 \text{ ft} = ( 21.4 \div 3 ) \text{ yd} \)

Evaluate the division

\( 21.4 \text{ ft} = 7.13333333333 \text{ yd} \)

Round to two decimal places

\( 21.4 \text{ ft} = 7.13 \text{ yd} \)

The number of \( \text{ yd} \) in \( 21.4 \text{ ft} \) is found by division as follows

\( 21.4 \text{ ft} = ( 21.4 \div 3 ) \text{ yd} \)

Evaluate the division

\( 21.4 \text{ ft} = 7.13333333333 \text{ yd} \)

Round to two decimal places

\( 21.4 \text{ ft} = 7.13 \text{ yd} \)

Convert the following

- \( 9 \text{ yd} \) to \( \text{ ft} \)
- \( 5 \text{ ft} \) to \( \text{ in} \)
- \( 21 \text{ ft} \) to \( \text{ yd} \)
- \( 36 \text{ in} \) to \( \text{ ft} \)
- \( 3 \text{ yd} \) to \( \text{ in} \)
- \( 32 \text{ in} \) to \( \text{ ft} \) and \( \text{ in} \)
- \( 41 \text{ in} \) to decimal \( \text{ yd} \) and round the answer to two decimal places.

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