Question

rectangle a has side lengths of 6 cm and 3.5 cm. the side lengths of rectangle b are proportional to the side lengths of rectangle a. what could be the side lengths of rectangle b? choose 2 answers: a 3 cm and 1.75 cm, b 5 cm and 2.5 cm, c 7 cm and 7 cm, d 12 cm and 5 cm, e 5.25 cm and 9 cm

Explanation:

First, find the ratio of the sides of Rectangle A. The sides are 6 cm and 3.5 cm, so the ratio is $\frac{6}{3.5}=\frac{12}{7}\approx1.714$.

Step 1: Check Option A

For option A, sides are 3 cm and 1.75 cm. The ratio is $\frac{3}{1.75}=\frac{12}{7}\approx1.714$, which matches the ratio of Rectangle A.

Step 2: Check Option B

For option B, sides are 5 cm and 2.5 cm. The ratio is $\frac{5}{2.5} = 2$, which does not match $\frac{12}{7}$.

Step 3: Check Option C

For option C, sides are 7 cm and 7 cm. The ratio is $\frac{7}{7}=1$, which does not match $\frac{12}{7}$.

Step 4: Check Option D

For option D, sides are 12 cm and 5 cm. The ratio is $\frac{12}{5} = 2.4$, which does not match $\frac{12}{7}$.

Step 5: Check Option E

For option E, sides are 5.25 cm and 9 cm. The ratio is $\frac{9}{5.25}=\frac{12}{7}\approx1.714$, which matches the ratio of Rectangle A.

Answer:

A. 3 cm and 1.75 cm, E. 5.25 cm and 9 cm