The shortest length of fabric, in inches, that Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 30 inches
<h3>How to solve for the shortest length of fabric required to make the table cloth</h3>
<u>Given data</u>
diameter of the table = 3 feet
hang down dimension = 5 inches
sew down dimension = 1 inch
width of rectangular fabric = 60 inches
The question seeks for area of the table cloth, for a circular table area of a circle = pi * r^2
required radius of cloth
= radius of the table + hang down dimension + sew down dimension
= 3 feet / 2 + 5 inches + 1 inch
= 1.5 * 12 inches + 5 inches + 1 inch
= 18 + 5 + 1
= 24 inches
Area of required cloth
= pi * 24^2
= 1809.557 square inches
Area of fabric = Area of required cloth
length * wide = 1809.557 square inches
length * 60 = 1809.557 square inches
length = 1809.557 / 60 square inches
length = 30.159 inches ≈ 30 inches
Therefore option H which is 30 inches is the answer
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