Question

1. a rectangle’s length is scaled by 3 and width by 3. its area is multiplied by: a) 3 b) 6 c) 9 d) 12

Explanation:

Step1: Recall rectangle area formula

The area formula of a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: Calculate new - area after scaling

The new length is $l_{new}=3l$ and the new width is $w_{new}=3w$. Then the new area $A_{new}=l_{new}\times w_{new}=(3l)\times(3w)=9lw$. Since the original area $A = lw$, the area is multiplied by 9.

Answer:

C. 9