Question

6 the ratio of the lengths of two sides of a rectangle is 2:3. if the shorter side is 12 cm, what is the length of the longer side?
a 15 cm
b 16 cm
c 18 cm
d 20 cm

Explanation:

Step1: Define the ratio variables

Let the shorter side be \( 2x \) and the longer side be \( 3x \) (since the ratio is \( 2:3 \)).

Step2: Find the value of \( x \)

We know the shorter side \( 2x = 12 \) cm. Solving for \( x \), we divide both sides by 2: \( x=\frac{12}{2}=6 \).

Step3: Calculate the longer side

The longer side is \( 3x \). Substituting \( x = 6 \), we get \( 3\times6 = 18 \) cm.

Answer:

C. 18 cm