Sammy went on a class trip to the art museum and sketched a scale drawing of a famous mural. The original painting was 72 inches wide and 108 inches long. Sammy used a scale factor of 1/12 to make his drawing. What is the length of Sammy’s drawing?
since the length of the original painting is 108 inches, you take 1/12 and multiply it by 108 and get 9 inches.
the length of Sammy's drawing is 9 inches.
The length of the Sammy’s drawing was 1296 inches.
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The scale is the relationship that exists between the magnitudes of a drawing and the actual dimensions.
Scale factor = Drawing length /Actual length
In this case, you have that:
Scale factor= 1/12
Drawing length= 108 inches
So:
Scale factor = Drawing length /Actual length
1/12 = 108 /Actual length
Solving this, you get:
Actual length = 108 x 12
Actual length = 1296
So, the length of the Sammy’s drawing was 1296 inches
Learn more about the unitary method;
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