Question

the width and length of a rectangle are in a 3:6 ratio. if the shorter side length or width is 30 cm, what is the length of the longer side? a 60 cm b 90 cm c 15 cm d 33 cm

Explanation:

Step1: Define the ratio relationship

Let the shorter side (width) be \( 3x \) and the longer side (length) be \( 6x \). We know the width (shorter side) is 30 cm, so \( 3x = 30 \).

Step2: Solve for \( x \)

Divide both sides of the equation \( 3x = 30 \) by 3: \( x=\frac{30}{3}=10 \).

Step3: Find the length of the longer side

Substitute \( x = 10 \) into the expression for the longer side (\( 6x \)): \( 6x = 6\times10 = 60 \) cm.

Answer:

A. 60 cm