Mathematics Worksheet With Answer Key - Grade 8, Mcas, 2015 Page 17

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Mathematics
Session 2
Question 21 is an open-response question.
BE SURE TO ANSWER AND LABEL ALL PARTS OF THE QUESTION.
Show all your work (diagrams, tables, or computations) in your Student Answer Booklet.
If you do the work in your head, explain in writing how you did the work.
Write your answer to question 21 in the space provided in your Student Answer Booklet.
ID:265911 Common
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An art museum gift shop has rectangular posters that are similar to actual rectangular
21
paintings. One poster that is 18 inches long is similar to a painting that is 45 inches long
and 30 inches wide.
a. What is the scale factor used to reduce the size of the actual painting to the size of the
poster? Express the scale factor as a fraction in simplest form. Show or explain how you
got your answer.
b. What is the width, in inches, of the poster that is 18 inches long? Show or explain how
you got your answer.
c. All the posters are sized using the same scale factor. A second poster is 16 inches long
and 14 inches wide. What are the dimensions, in inches, of the actual painting? Show or
explain how you got your answer.
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