Answers:
Dimensions: 3 cm by 4 cm
Perimeter: 14 cm
Area: 12 square cm
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Explanation:
We start off with a 12 cm by 16 cm rectangle, which turns into 3 cm by 4 cm when we divide each value by 4, which is the same as multiplying by 1/4. Alternatively, you can compute 1/4 = 0.25 first and then multiply 0.25 by 12 and 16 to get 3 and 4 respectively.
The length and width of this smaller rectangle is L = 3 and W = 4, so the perimeter P is
P = 2*(L+W) = 2*(3+4) = 2*7 = 14 cm
Alternatively, you can add up the four sides 3, 4, 3, 4 to get 3+4+3+4 = 7+7 = 14 which is the same perimeter value.
The area is
A = L*W = 3*4 = 12 square cm
note: You can write "square cm" as "cm^2"