Jace made a scale drawing of his bedroom. In his drawing, 1 cm represents 2 feet. The length of his room on the scale drawing is 7.5 cm. What is the actual length of his room? Be sure to label your answer.
15 feet
Determine the scale factor of Problem #1 on the board.
2/1 or 2
120 sq. ft.
Step 1: Use the grid to draw a new figure using the given scale.
Scale Factor: 2
(Drawn on grid paper)
Libby is on a road trip, and is reading a map that has a scale of 2 in : 25 miles. Her trip measures 6.5 inches on the map. What will be her actual distance for the trip? Be sure to label your answer.
81.25 miles
Determine the scale factor of Problem #2 on the board.
1/3
A rectangle measures 3 ft. by 10.5 ft. If the rectangle is enlarged by a scale factor of 2, what would be the area of the rectangle?
126 sq. ft.
Step 2: Calculate the perimeters of the original figure and the scale drawing.
*Perimeter of Original Figure: 8 units
*Perimeter of Scale Drawing: 16 units
Joseph is building a model of a car. The scale is 1 inch : 36 inches. The actual length of the car is 162 inches. How long will the model be? Round to the nearest tenth.
4.5 inches
Determine the scale factor of Problem #3 on the board.
3/5
A floor plan of Justice's new house has a scale of 1 inch : 6 ft. On the floor plan, Justice's bedroom is 2 in. by 2 in. What is the actual area of Justice's bedroom?
144 sq. ft.
Step 3: Calculate the areas of the original figure and the scale drawing.
*Area of Original Figure: 3 sq. un.
*Area of Scale Drawing: 12 sq. un.