1. On a map, 1 inch equals 5 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
2. You make a scale drawing of a banner for a school dance. You use a scale of 1 inch = 3 feet. What is the actual width of the banner?
3. The scale drawing is of a backyard tennis court. The scale is 1 cm = 2 m. What is the actual area of the tennis court?
4. Writing The drawing below of a swimming pool has a scale of 1 inch = 3 meters.
a. Find the dimensions of another drawing of this swimming pool with a scale of 2 inches = 5 meters.
b. How many different scales are available to use for a scale drawing? Why could one scale be more useful than another?
5. Think About the Process The scale for the drawing of a rectangular playing field is 2 inches = 5 feet.
a. Find an equation you can use to find the dimensions of the actual field. Use the equation y = x, where x is a dimension of the scale drawing (in inches) and y is the corresponding dimension of the actual field (in feet).
b. The actual length of the field is feet.
c. The actual width of the field is feet.
6. Think About the Process The blueprint of a concrete patio has a scale of 2 in. = 3 ft. You want to find the dimensions of a new blueprint of the patio with a scale of 4 in. = 5 ft.
a. What is the first step in finding the dimensions of the new scale?
A. Multiply each dimension on the scale drawing by fraction 2 in. , over 3 ft end fraction to find the actual dimension of the patio.
B. Multiply each dimension on the scale drawing by fraction 5 ft , over 4 in. end fraction to find the actual dimension of the patio.
C. Multiply each dimension on the scale drawing by fraction 3 ft , over 2 in . end fraction to find the actual dimension of the patio.
b. The length of the blueprint with the new scale is in.
c. The width of the blueprint with the new scale is in.