Question

2. Elena finds that the area of a house on a scale drawing is 25 square inches. The
actual area of the house is 2,025 square feet. What is the scale of the drawing?

Answer 1

Answer:

The scale of the drawing is $\frac{1}{9}\ \frac{in}{ft}$

Step-by-step explanation:

we know that

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

Let

z ----> the scale factor

x ----> the area of an house on a scale drawing in square inches

y ---> the actual area of the house in square feet

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

we have

$x=25\ in^2$

$y=2,025\ ft^2$

substitute

$z^2=\frac{25}{2,025}$

simplify

$z^2=\frac{1}{81}$

square root both sides

$z=\frac{1}{9}\ \frac{in}{ft}$

therefore

The scale of the drawing is $\frac{1}{9}\ \frac{in}{ft}$

Answer 2

Answer:

9

Step-by-step explanation: