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Sonja [21]
3 years ago
6

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

Mathematics
2 answers:
Yuri [45]3 years ago
8 0

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


Gnom [1K]3 years ago
7 0
Original area: 5X9=45
After you multiply the dimensions by 4 you get 5X4X9X4=720

720/45 = 16

The area <span>is increased by a factor 16.</span>
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