What is the scaling factor used between the two farms?

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Solution

The correct option is A 5
$Scaling factor = \frac{D i m e n s i o n o f n e w f a r m}{D i m e n s i o n o f o l d f a r m}$

Length of new farm = 150 yd

Length of old farm = 30 yd

$Ratio of length = \frac{150 y d}{30 y d} = 5$

Width of new farm = 75 yd

Width of old farm = 15 yd

$Ratio of breadth = \frac{75 y d}{15 y d} = 5$

$∴ Scaling factor = \frac{5}{1} = 5$

Hence, the scaling factor used is 5.

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Similar questions

Given that

Triangle 1: 3 cm, 3 cm, 4 cm

Triangle 2: 6 cm, 6 cm, 8 cm

Triangle 3: 12 cm, 12 cm, 16 cm

Triangle 4: 24 cm, 24 cm, 32 cm

If Triangle 1 is the original triangle, what scale factor is used to generate Triangle 2, Triangle 3, and Triangle 4 from Triangle 1?

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