Question

describe how the given changes to the dimensions of the figure will affect its perimeter or area. what happens to the area of a rectangle with length 12 units and width 15 units when its dimensions are decreased by a factor of $\frac{1}{3}$? > move an answer into each space provided. the area of the resulting rectangle will be the area of the original rectangle. $\frac{1}{9}$ of $\frac{1}{3}$ of $\frac{1}{9}$ more than $\frac{1}{3}$ more than

Explanation:

Step1: Calculate original area

The area formula of a rectangle is $A = l\times w$. For the original rectangle with $l = 12$ and $w = 15$, the original area $A_1=12\times15 = 180$.

Step2: Calculate new - dimensions

The new length $l_2=\frac{1}{3}\times12 = 4$ and the new width $w_2=\frac{1}{3}\times15 = 5$.

Step3: Calculate new area

The new area $A_2=l_2\times w_2=4\times5 = 20$.

Step4: Find the ratio of new area to original area

$\frac{A_2}{A_1}=\frac{20}{180}=\frac{1}{9}$.

Answer:

$\frac{1}{9}$ of