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AssignmentMultiple Choice

Scale Factor

Question 1 • MO-Mathematics

Jon is making a scale drawing to enlarge a picture. The original dimensions of the picture are 8 inches wide by 64 inches long. Which of these dimensions represents a possible width and length of the enlargement?1 inch wide by 8 inches long8 inches long by 16 inches wide16 inches wide by 128 inches long128 inches wide by 16 inches long

Answer
A
1 inch wide by 8 inches long
B
8 inches long by 16 inches wide
C
16 inches wide by 128 inches long
D
128 inches wide by 16 inches long

Explanation

The enlargement must keep the same width-to-length ratio as the original: 8:64, which simplifies to 1:8. The dimensions 16 inches wide by 128 inches long have that same ratio and are twice the original dimensions, so they represent an enlargement.

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