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Mona needs to photocopy a picture that is 14.5 centimeters wide by 15 centimeters long. She wants to enlarge the picture so that its length will be 37.5 centimeters. How wide will the enlarged picture be?

A. 38.8 cm
B. 37 cm
C. 93.75 cm
D. 36.25 cm

Answer :

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

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Rewritten by : Barada

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm