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:B) A rectangle with a length of 15 cm and a width of 9 cmStep-by-step explanation:we know thatIf two figures are similar, then the ratio of its corresponding sides is proportionalVerify each casescase A) A rectangle with a length of 9 cm and a width of 6 cm[tex]\frac{10}{9}\neq \frac{6}{6}[/tex]thereforeThe rectangle case A) is not similar to rectangle Acase B) A rectangle with a length of 15 cm and a width of 9 cm[tex]\frac{10}{15}=\frac{6}{9}[/tex][tex]\frac{2}{3}=\frac{2}{3}[/tex]thereforeThe rectangle case B) is  similar to rectangle Acase C) A rectangle with a length of 14 cm and a width of 7 cm[tex]\frac{10}{14}\neq \frac{6}{7}[/tex]thereforeThe rectangle case C) is not similar to rectangle Acase D) A rectangle with a length of 12 cm and a width of 8 cm[tex]\frac{10}{12}\neq \frac{6}{8}[/tex]thereforeThe rectangle case D) is not similar to rectangle A