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The distance around a rectangle is given by the expression 2(l + w), where l is the length and w is thewidth. What is an equivalent expression for this distance?

Question

The distance around a rectangle is given by the expression 2(l + w), where l is the length and w is thewidth. What is an equivalent expression for this distance?

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Solution

An equivalent expression for the distance around a rectangle, also known as the perimeter, is 2l + 2w. This is because the expression 2(l + w) can be simplified by applying the distributive property of multiplication over addition, which states that 2(l + w) = 2l + 2w.

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