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A rectangular garden has a length that is twice its width. The dimensions are increased so that the perimeter is doubled and the new shape is a square with an area of 3600 square feet. What was the area of the original garden, in square feet?(no diagram)

 Jun 3, 2020
 #1
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\(\boxed {800}\)

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 Jun 3, 2020
 #2
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because you are given two rectangular gardens and one is double the size of the other, you can see that there are scale factors, 1:2.

 

because you want the area of the original garden, the scale factor will be 1^2:2^2=1:4.

 

now you can apply it:

 

3600*1/4 = 900. therefore the area of the original garden is 900 square feet.

 Jun 3, 2020
 #3
avatar+176 
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But this is incorrect...

 Jun 3, 2020

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