Question

Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 3 cm. B) A rectangle with a length of 20 cm and a width of 10 cm. C) A rectangle with a length of 18 cm and a width of 9 cm. D) A rectangle with a length of 27 cm and a width of 3 cm.

Answer 1

Answer:

  A) A rectangle with a length of 9 cm and a width of 3 cm

Step-by-step explanation:

The length to width ratio for the given rectangle is ...

  21 cm : 7 cm = 3 : 1

Any similar rectangle will have the same ratio of length to width.

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For the offered choices, the ratios are ...

  9:3 = 3:1 . . . . this is the answer

  20:10 = 2:1

  18:9 = 2:1

  27:3 = 9:1

Answer 2

Answer:

A rectangle with a length of 9 cm and a width of 3 cm.

Step-by-step explanation:

In similar rectangles, the ratios of corresponding sides are equal.

$\\\frac{length}{width}$ → $\frac{21}{7}$ = $\frac{3}{1}$ and $\frac{9}{3}$ = $\frac{3}{1}$