The table mat, handkerchief, and table cloth, which are all square-shaped, have to be covered with lace around the boundary. Which of them requires the smallest length of lace?
A
Table mat
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B
Table cloth
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C
Handkerchief
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D
All of them require the same length.
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Solution
The correct option is C Handkerchief Length of lace required for table mat
= Perimeter of table mat
= 4 × Side = 20×4 = 80 inches
Length of lace required for handkerchief = Perimeter of handkerchief = 4 × Side
= 10×4 = 40 inches
Length of lace required for table cloth = Perimeter of table cloth = 4 × Side
=25×4 = 100 inches
Since, 40 < 80 < 100
Thus, the handkerchief requires 40 inches of lace, which is the smallest.