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 variables and ratio

Let the shorter side be \( 2x \) and the longer side be \( 3x \) (since the ratio is \( 2:3 \)). We know the shorter side is \( 12 \) cm, so \( 2x = 12 \).

Step2: Solve for \( x \)

Divide both sides of \( 2x = 12 \) by \( 2 \): \( x=\frac{12}{2}=6 \).

Step3: Find the longer side

The longer side is \( 3x \), substitute \( x = 6 \): \( 3\times6 = 18 \) cm.

Answer:

C. 18 cm