Question

If a rectangle has side lengths of 10 cm and 4 cm is it similar to a rectangle with side lengths of 5cm and 8 cm ? Why or why not

Answer 1

Rectangle A is not similar to rectangle B because the ratio of length to width is different.

Ratios and proportions

A ratio means a comparison of two different quantities while proportion is an equality of two ratios.

Rectangle A:

• Length= 10 cm
• Width = 4 cm

Ratio of length to width = 10 : 4

= 10/4

= 5/2

= 5 : 2

Rectangle B:

• Length = 5 cm
• Width = 8 cm

Ratio of length to width = 5 : 8

Therefore, rectangle A is not similar to rectangle B because the ratio of length to width is different.

Learn more about ratios and proportions:

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