Draw this out. Start with the two points you’re given.

Now remember that the shape is a rectangle, and that you’re told that point B is on the x-axis. The only way that happens is if B is at (5, 0). Point D, by the same logic, must be at (–3, 2).

Now draw the rectangle and measure the lengths. The long ends have length 8, and the short ends have length 2.

Therefore, the perimeter is 8 + 2 + 8 + 2 = 20.

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