### Home > MC2 > Chapter 5 > Lesson 5.1.2 > Problem5-24

5-24.

The scale drawing below shows the first floor of a house. The actual dimensions of the garage are $20$ feet by $25$ feet. All angles are right angles.

1. How many feet does each inch represent?

Consider the actual dimensions of the garage as a similar shape. Find the ratio of the scale factor between the actual garage and the scale drawing at right.

$20$ feet $= 1$ inch

2. What is the length and width of the living room in inches?

Refer to the drawing below. The living room is in the upper left corner of the house. Its width is the same as the garage.

3. What is the length and width of the living room in feet?

Use the scale drawing dimensions from part (b) and the scale factor for feet from part (a).

$40$ feet by $25$ feet.
Make sure you know why this is the answer.

4. What is the area of the living room (in square feet)?

Use your answer from part (c) to determine the actual area of the living room (in square feet).

5. What is the perimeter of the garage (in feet)?

Refer to parts (a) through (c) for help.