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MATH
Devon is making table runners for his niece's wedding. The short tables are 6 feet
(ft) long, and the long tables are 10 ft long. Each runner will overhang its table by 8
inches (in.) on each end. Devon was told there will be 12 small tables and twice that
number of long tables. How many total yards (yd) of fabric will he need to make the
table runners, assuming no waste? (Note: 12 in. = 1 ft and 3 ft = 1 yd.)

Respuesta :

The sum of the lengths of the tables and the total length of overhang

give the length of fabric that Devon needs.

Response:

  • The total yards of fabric needed to make the table runners is 12 yd.

How can the given dimensions be added to obtain the length of fabric needed?

The given parameters are;

Length of the small tables = 6 feet

Length of the long tables = 10 feet

Length of overhang on each end = 8 inches

Number of small tables = 12

Number of long tables = 2 × 12 = 24

Required:

The yards of fabric needed to make the table runners.

Solution;

The total number of tables = 12 + 24 = 36

Length of overhang for each table = 8 inches + 8 inches = 16 inches

Sum of the length of the overhang = 36 × 16 inches = 576 inches

From the given unit conversion factors, we have;

Sum of the length of overhang = 576 inches ÷ 12 inch/feet = 48 feet

Length of the tables = 12 × 6 feet + 24 × 10 feet = 312 feet

Total length of table runner = 312 feet + 48 feet = 360 feet

Length of table runner needed = 360 feet ÷ 3 feet/yd = 120 yd.

Learn more about unit conversion here:

https://brainly.com/question/4845674

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