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Answer :
Final answer:
Mona enlarges the picture by a factor of 2.5, which when applied to the original width of 14.5 cm, results in an enlarged width of 36.25 cm. Therefore, the correct answer is D.36.25 cm.
Explanation:
Mona wants to enlarge a picture that is 14.5 centimeters wide by 15 centimeters long so that its length will be 37.5 centimeters. To find out how wide the enlarged picture will be, we need to determine the scale factor used to increase the length of the picture and then apply this scale factor to the width.
The original length is 15 centimeters and the new length is 37.5 centimeters. To get the scale factor, we divide the new length by the original length:
Scale Factor = New length / Original length
Scale Factor = 37.5 cm / 15 cm = 2.5
Therefore, the picture is enlarged by a factor of 2.5. Now, we apply this scale factor to the original width to get the enlarged width:
Enlarged Width = Original width × Scale Factor
Enlarged Width = 14.5 cm × 2.5 = 36.25 cm
So, the enlarged picture will be 36.25 centimeters wide.
The correct answer is D.36.25 cm.
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