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:

Step1: Calculate the ratio of side lengths of rectangle A

The ratio of side lengths of rectangle A is \(\frac{6}{3.5}=\frac{60}{35}=\frac{12}{7}\)

Step2: Check each option

• Option A:

The ratio of side lengths is \(\frac{3}{1.75}=\frac{3\times4}{1.75\times4}=\frac{12}{7}\)

• Option B:

The ratio of side lengths is \(\frac{5}{2.5} = 2
eq\frac{12}{7}\)

• Option C:

The ratio of side lengths is \(\frac{7}{7}=1
eq\frac{12}{7}\)

• Option D:

The ratio of side lengths is \(\frac{12}{5}
eq\frac{12}{7}\)

• Option E:

The ratio of side lengths is \(\frac{9}{5.25}=\frac{9\times4}{5.25\times4}=\frac{36}{21}=\frac{12}{7}\)

Answer:

A. \(3\) cm and \(1.75\) cm, E. \(5.25\) cm and \(9\) cm