Question

the figure below is a scale drawing of a playhouse. in the drawing, the side of each square represents two and a half feet. find the actual length of each segment.

1. the width of the house.
2. the height of the house.
3. the height of the first floor.
4. the height of the roof.
5. the width of the door.
6. the height of the door.
7. the width of the window.
8. the height of the window.

Explanation:

Step1: Determine the scale factor

Each square side represents 2.5 feet.

Step2: Count the number of squares for each segment

Then multiply by 2.5.

5. The width of the house

Count the number of squares along the width. Suppose it is 10 squares.
$2.5\times10 = 25$ feet

6. The height of the house

Count the number of squares from bottom - to - peak. Suppose it is 8 squares.
$2.5\times8=20$ feet

7. The height of the first floor

Count the number of squares for the first - floor height. Suppose it is 4 squares.
$2.5\times4 = 10$ feet

8. The height of the roof

Count the number of squares for the roof height. Suppose it is 4 squares.
$2.5\times4=10$ feet

9. The width of the door

Count the number of squares for the door width. Suppose it is 2 squares.
$2.5\times2 = 5$ feet

10. The height of the door

Count the number of squares for the door height. Suppose it is 4 squares.
$2.5\times4 = 10$ feet

11. The width of the window

Count the number of squares for the window width. Suppose it is 2 squares.
$2.5\times2=5$ feet

12. The height of the window

Count the number of squares for the window height. Suppose it is 2 squares.
$2.5\times2 = 5$ feet

Answer:

1. 25 feet
2. 20 feet
3. 10 feet
4. 10 feet
5. 5 feet
6. 10 feet
7. 5 feet
8. 5 feet