Problem

20. The length of a rectangular patio is 7 feet and the width is 6 feet. The patio is surrounded by a sidewalk that is \( x \) feet wide. Find the expression that represents the area of the patio, including the side walk.

Answer

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Answer

\( A_{sidewalk} = A_{total} - A_{patio} = (7 + 2x)(6 + 2x) - 7\times6 \)

Steps

Step 1 :\( A_{patio} = 7 \times 6 \)

Step 2 :\( A_{total} = (7 + 2x)(6 + 2x) \)

Step 3 :\( A_{sidewalk} = A_{total} - A_{patio} = (7 + 2x)(6 + 2x) - 7\times6 \)

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