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Sam has a patio that is in the shape of a rectangle with an area of \( 600 \mathrm{ft}^{2} \) will be a larger rectangle. The current patio has a length of 30 ft and a wi new width 3 times the current width. (a) Fill in the blanks to describe the size of Sam's new patio. New length (b) How will the expansion change the area of the patio? The area of the new patio will be \( \square \) times the area of the curre (c) Sam's friend Lisa also wants to expand her rectangular patio. Li current patio. She goes to Sam for advice. Fill in the blank so th Make the new length 7 times the current length, and make the (tt

Ask by Bates Flynn. in the United States
Mar 14,2025

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(a) New Length: 30 ft, New Width: 60 ft (b) The area of the new patio will be 3 times the current area. (c) The area of Lisa's new patio will be 7 times her current patio area.

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Sam's current patio has a length of 30 ft and a width of 20 ft, as \(30 \times 20 = 600\). With a new width that is 3 times the current width, that makes it \(20 \times 3 = 60\) ft. Thus, Sam's new patio will have a length of 30 ft and a width of 60 ft, which leads to a new area of \(30 \times 60 = 1800\) square feet, making it \(3\) times the area of the current patio. Lisa can take a leaf out of Sam's book! If she decides to make her new length \(7\) times her current length and doubles the width of her existing patio, she can simply apply the same area expansion principles. If her current area is \(A\), her new area formula would be \(7L \times 2W = 14LW\), leading to a \(14\) times increase in area! That's what I call growing your patio and your potential!

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