Question

Consider that the length of rectangle A is 10 cm and its width is 6 cm. Which rectangle is similar to rectangle A? A) A rectangle with a length of 9 cm and a width of 6 cm. B) A rectangle with a length of 15 cm and a width of 9 cm. C) A rectangle with a length of 14 cm and a width of 7 cm. D) A rectangle with a length of 12 cm and a width of 8 cm.

Answer 1

Answer:

B) A rectangle with a length of 15 cm and a width of 9 cm

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Verify each cases

case A) A rectangle with a length of 9 cm and a width of 6 cm

$\frac{10}{9}\neq \frac{6}{6}$

therefore

The rectangle case A) is not similar to rectangle A

case B) A rectangle with a length of 15 cm and a width of 9 cm

$\frac{10}{15}=\frac{6}{9}$

$\frac{2}{3}=\frac{2}{3}$

therefore

The rectangle case B) is  similar to rectangle A

case C) A rectangle with a length of 14 cm and a width of 7 cm

$\frac{10}{14}\neq \frac{6}{7}$

therefore

The rectangle case C) is not similar to rectangle A

case D) A rectangle with a length of 12 cm and a width of 8 cm

$\frac{10}{12}\neq \frac{6}{8}$

therefore

The rectangle case D) is not similar to rectangle A

Answer 2

Answer:

A rectangle with a length of 15 cm and a width of 9 cm.

Step-by-step explanation:

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

$\frac{length}{width}$ → $\frac{10}{6}$ = $\frac{5}{3}$  and $\frac{15}{9}$ = $\frac{5}{3}$