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Multiple Choice

The area of a rectangle with length l and width w is what?

The area of a rectangle comes from multiplying its length by its width. If the length is l and the width is w, the area is l × w, commonly written as lw. This matches the idea of tiling the shape with tiny squares along the length and along the width—the total number of squares is the product of those two counts, which is lw. The units are square units, since you’re counting area. The other forms aren’t generally correct for a rectangle: l^2 would only be the area if both sides are equal (a square), and lw^2 would imply multiplying by the square of the width, which isn’t the formula for a rectangle’s area.

The area of a rectangle comes from multiplying its length by its width. If the length is l and the width is w, the area is l × w, commonly written as lw. This matches the idea of tiling the shape with tiny squares along the length and along the width—the total number of squares is the product of those two counts, which is lw. The units are square units, since you’re counting area. The other forms aren’t generally correct for a rectangle: l^2 would only be the area if both sides are equal (a square), and lw^2 would imply multiplying by the square of the width, which isn’t the formula for a rectangle’s area.