John is producing a tablecloth for a circular table 1.5 feet in radius for his customer. Thecompleted tablecloth needs hang down 5 inches over the edge of the table all the way round.John will fold under and sew down 1 inch of the material all around the edge to finish the edgeof the tablecloth. A single piece of rectangular fabric that is 60 inches wide will be used byJohn. Find the minimum length of fabric that John could use to make the tablecloth withoutputting any separate pieces of fabric together.​

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John is producing a tablecloth for a circular table 1.5 feet in radius for his customer. Thecompleted tablecloth needs hang down 5 inches over the edge of the table all the way round.John will fold under and sew down 1 inch of the material all around the edge to finish the edgeof the tablecloth. A single piece of rectangular fabric that is 60 inches wide will be used byJohn. Find the minimum length of fabric that John could use to make the tablecloth withoutputting any separate pieces of fabric together.​

Jawab:

48 inches

Penjelasan dengan langkah-langkah:

Tablecloth details:

  • 1.5 feet in radius (the radius of circular table)
  • extra 5 inches (hang down over the edge)
  • extra 1 inch (to fold under the tablecloth, and sew down)

So, the total radius of the tablecloth needed is 1.5ft + 5 inch + 1 inch = 18+5+1 = 24 inches

Rectangular Fabric details:

  • 60 inches wide and unknown (x) inches length
  • x inches is the minimum length of tablecloth

The length of rectangular fabric is two times of the total radius of the tablecloth or the diameter of the tablecloth.

x = 2*24 = 48 inches

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