Maria's yard is 40ft x 28ft 9in. She made a scale drawing of her yard that is 16in x 11.5in. what is the scale.

scale: 40ft per 16 inches, or 40x12in/16in or 30 to 1.

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To find the scale of Maria's yard, you need to compare the dimensions of her actual yard to the dimensions of the scale drawing.

First, let's convert the dimensions of Maria's yard from feet and inches to inches only.

Maria's yard:
Width = 40ft = 40ft x 12in/ft = 480in
Length = 28ft 9in = (28ft x 12in/ft) + 9in = 357in

Next, let's compare the dimensions of the actual yard to the dimensions of the scale drawing.

Actual Yard:
Width = 480in
Length = 357in

Scale Drawing:
Width = 16in
Length = 11.5in

To find the scale, we need to divide the dimensions of the actual yard by the corresponding dimensions of the scale drawing.

Scale = (Actual Yard Width / Scale Drawing Width) = (480in / 16in) = 30
Scale = (Actual Yard Length / Scale Drawing Length) = (357in / 11.5in) ≈ 30.96

Therefore, the scale of Maria's yard is approximately 30.96. This means that each inch on the scale drawing represents approximately 30.96 inches in the actual yard.