Question

The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 ft^2.
What is the area of the garage door on the blueprint?

A. 0.55ft^2
B. 5.5ft^2
C. 11ft^2
D. 55ft^2

Answer 1

The scale factor 0.05 refers to length, so for area the scale factor is 0.05²=0.0025.

We then multiply: 220 ft²*0.0025=0.55 ft² (choice A)

Answer 2

Answer:

option A

$0.55\ ft^{2}$

Step-by-step explanation:

Let

x-------> the area of the garage door on the blueprint

y------> the area of the actual garage door

z------> scale factor

we know that

The scale factor squared is equal to the area of the garage door on the blueprint divided by the area of the actual garage door

so

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

In this problem we have

$z=0.05, y=220\ ft^{2}$

substitute the values and solve for x

$0.05^{2}=\frac{x}{220}$

$x=220(0.05^{2})$

$x=0.55\ ft^{2}$