Question

a rectangle has the dimensions shown. the length of each side is quadrupled. how many times larger is the new area when compared to the original? a 4 times b 12 times c 16 times d 20 times

Explanation:

Step1: Calculate original area

The formula for the area of a rectangle is $A = l\times w$. Given $l = 7$ and $w = 5$, the original area $A_{1}=7\times5 = 35$.

Step2: Find new dimensions

The length and width are quadrupled. New length $l_{2}=7\times4 = 28$ and new width $w_{2}=5\times4 = 20$.

Step3: Calculate new area

Using the area formula, the new area $A_{2}=l_{2}\times w_{2}=28\times20 = 560$.

Step4: Find ratio of new - to - original area

$\frac{A_{2}}{A_{1}}=\frac{560}{35}=16$.

Answer:

C. 16 times