Question

A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
10.3 square feet
14 square feet
36 square feet
122.5 square feet

Answer 1

Answer:

A scale model of the room is 3.5 feet wide. What is the area of the scale model? 10.3 square feet 14 square feet 36 square feet 122.5 square feet

Step-by-step explanation:

Answer 2

Original Width: 10.5

Original Length: 12

Scaled Width: 3.5

Scaled Length: ?

We will be using x to find the unknown scale multiplier

Solving for x:

3.5=10.5/x

Multiply both sides by x:

3.5•x=10.5/x•x

3.5x=10.5

Divide both sides by 3.5:

3.5x/3.5=10.5/3.5

x=3

To find the length, we need to divide the original length by 3:

12/3=4

The area of the scaled model (Scaled Length*Scaled Width):

Scaled Width: 3.5

Scaled Length: 4

3.5•4=14

So, answer-14 square feet