7.2.2 Using Proportional Relationships (continued) Example 2 Solving for a Dimension
An actual distance is determined from a map distance and a scale in this application example. The map distance is given as 7 cm, and the scale of the map is given as 2.5 cm:850 m. To find the actual distance, set up a proportion using the scale ratio and the ratio of the unknown distance to the known map distance. Cross multiply and solve for the unknown actual distance. The actual distance is 2380 m.
Example 3 Making a Scale Drawing
A scale drawing of the base of a house is made in this application example. The dimensions of the actual house are given. The scale for the drawing is given as 2 cm:5 m. To find the dimensions of the drawing, write two proportions using the scale ratio and the ratio of the drawing length and width to the length and width of the actual house. For each proportion, cross multiply and solve for the unknown length. The length for the drawing of the house base is 8 cm. The width for the drawing of the house base is 16.8 cm.
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