To determine if the scale Sarah has chosen is reasonable, we can calculate the dimensions of the painting on her scale drawing using the scale factor provided (1 in. = 4 in.).
First, we need to find the actual dimensions of the painting on the scale drawing:
Width of the painting on the scale drawing = 48 in. / 4 = 12 in.
Height of the painting on the scale drawing = 120 in. / 4 = 30 in.
Now, we compare the dimensions of the scale drawing to the dimensions of Sarah's paper:
Paper width = 12 in., Paper height = 24 in.
Scale drawing width = 12 in., Scale drawing height = 30 in.
Since the scale drawing fits within the dimensions of Sarah's paper without being too large, the scale she has chosen (1 in. = 4 in.) is reasonable.
Note: For questions 13–21, remember to show all of the steps that you use to solve the problem. You can use the comments field to explain our work. Your teacher will review each step of your responses to ensure your receive proper credit for your answers.QuestionNote: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She decides to use the scale 1 in. = 4 in. Is this a reasonable scale?
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