Chris is building a rectangular pen for his dog. The dimensions are 12 units long and 5 units wide. He decided his dog needed more space, so he is going to build the pen with a scale factor of 120%. Find the new dimensions of the dog pen. Explain if the new pen is an enlargement or a reduction.

Question

Mathematics

Foley

6 December, 18:47

Chris is building a rectangular pen for his dog. The dimensions are 12 units long and 5 units wide. He decided his dog needed more space, so he is going to build the pen with a scale factor of 120%. Find the new dimensions of the dog pen. Explain if the new pen is an enlargement or a reduction.

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Answers (1)

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Shania Pennington · Answer 1

The dimensions are 14.4 units and 6 units

Step-by-step explanation:

∵ The scale factor is 120%

∴ The new length = 12 * 120/100 = 14.4 units

∴ The new width = 5 * 120/100 = 6 units

∵ The scale factor = 120% = 120/100 = 1.2

∵ The scale factor is greater than 1

∴ The new pen is an enlargement

Note: If the scale factor less than 1, it will be reduction