Kody's Tablecloth

Geometry Level 2

For a project in art class at school, Kody wants to make a tablecloth for a circular table with a diameter of 3 feet. He also wants to add an extra 10 cm of fabric drooping off the sides all around the table. To finish off the tablecloth, he wants to fold under and sew down a 1 inch design of fabric. After a long while of searching through his house, Kody finds a piece of fancy fabric perfect for his tablecloth. The fabric is 60 inches wide. What is the shortest possible width, in inches, for Kody to be able to make his tablecloth out of the piece of fabric? Round to the nearest hundredth of an inch.

(Hint: 1 inch = 2.54 cm and 1 cm = 0.393701 inches)


The answer is 45.87.

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1 solution

Garam O'Brien
Jan 27, 2019

Because the drooping part of the tablecloth goes all the way around the table, you can multiply the 10 cm and the 1 inch by 2 to get 20 cm and 2 inches. 10 cm is approximately 7.87 inches, so you can add that to 36 inches and 2 inches.

7.87 + 36 + 2 = 45.87 inches.

45.87 inches is the answer!

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