Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? do not leave your answer as a fraction.

The area of the dilated rectangle is

Step-by-step explanation:

we know that

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

Let

z------> the scale factor

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

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

so

In this problem we have

substitute and solve for x

$25

step-by-step explanation:

25 - 4.50 = 20.5

20.5 / 2 = 10.25

10.25 + 10 = 20.25

20.25 - 12.50 = 7.75

therefore the answer is $25 as shown as the first number.