The length of a rectangle is four times the length of a square. If the rectangle and the square share a side, and the perimeter of the square is 2 m, what is the perimeter of the rectangle?

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If the square and the rectangle share a side, then the width of the rectangle is equal to the length of the square. If the length of the square is x, then x + x + x + x = 2, 4x = 2, x = 1 ⁄ 2 . Since the width of the rectangle is equal to the length of the square and the length of the rectangle is 4 times the length of the square, the width of the rectangle is 1 ⁄ 2 and the length is 4( 1 ⁄ 2 ) = 2. Therefore, the perimeter of the rectangle is equal to: 1 ⁄ 2 + 2 + 1 ⁄ 2 + 2 = 5 units.

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