Tristan is trying to place the missing piece of a puzzle. To do so, he needs to pick the piece with the greatest perimeter.
Choose the correct piece from the options.
A
(1)
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B
(2)
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C
(3)
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D
(4)
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Solution
The correct option is B (2) Let's find the perimeter of each of the above pieces.
Perimeter of figure 1: 7 + 5 + 7 + 5 = 24 in
Perimeter of figure 2: 6 + 10 + 6 + 4 = 26 in
Perimeter of figure 3: 3 + 3 + 3 + 3 = 12 in
Perimeter of figure 4: 4 + 4 + 4 + 4 + 4 = 20 in
Hence, the piece with the greatest perimeter is 2.