Question

A rectangle has a width of 5 yd and a length of 9 yd.

Answer 1

Answer:

Option The area is increased by a factor of $16$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to scale factor squared

Let

z-----> the scale factor

x------> the area of the dilated rectangle

y------> the area of the original rectangle

$z^{2}=\frac{x}{y}$

we have

$z=4$ ------> is an enlargement

so

substitute

$4^{2}=\frac{x}{y}$

$16=\frac{x}{y}$

$x=16y$

therefore

The area is increased by a factor of $16$

Answer 2

Original area: 5X9=45
After you multiply the dimensions by 4 you get 5X4X9X4=720

720/45 = 16

The area is increased by a factor 16.