PSAT/NMSQT Practice Exam

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Which expression correctly represents the perimeter of a rectangle with length L and width W?

P = L + W

P = 2L + W

P = 2L + 2W

Perimeter is the total distance around a rectangle, so you add all four sides. Opposite sides are equal: two sides are length L and the other two are width W. Adding them gives L + L + W + W = 2L + 2W. So the expression P = 2L + 2W (or equivalently P = 2(L + W)) is the correct one.

The other forms don’t match the full loop around the rectangle: L + W only accounts for two sides, missing the opposite pair; 2L + W counts both lengths but only one width; 2L + 3W would count three widths, which isn’t four sides of a rectangle.

P = 2L + 3W

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