4 answers
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if A = LW then the new area
A' = (2L)(2W) = 4LW = 4A
so, 4A = 160
10 square feet
20 square feet
40 square feet
80 square feet
A' = (2L)(2W) = 4LW = 4A
so, 4A = 160
Given that the new enlarged patio has an area of 160 square feet and is created by scaling up the landscaper's model by a scale factor of 2, we can set up the equation:
Area of the enlarged patio = Scale factor^2 × Area of the landscaper's model
Plugging in the given values, we have:
160 = 2^2 × Area of the landscaper's model
Simplifying the equation, we get:
160 = 4 × Area of the landscaper's model
Dividing both sides of the equation by 4, we have:
40 = Area of the landscaper's model
Therefore, the area of the landscaper's model is 40 square feet.
So, the correct answer is 40 square feet.