A square and a rectangle have the same perimeter. The length of the rectangle is twice its width. If the side of the square is 12 meters, what is the difference between the area of the square and the area of the rectangle?
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Correct answer: B
Explanation
Side of the square = 12 meters
Perimeter of the square = 4 × 12 = 48 meters
The perimeter of the rectangle is also 48 meters.
Let the width of the rectangle be x meters; then the length will be 2x meters.
2(length + width) = 48
2(2x + x) = 48
6x = 48
x = 8
Therefore, width of the rectangle = 8 meters
Length of the rectangle = 16 meters
Area of the square = 12 × 12 = 144 square meters
Area of the rectangle = 16 × 8 = 128 square meters
Difference = 144 - 128 = 16 square meters