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PLS HELP ASP!!!

The state of Colorado is 4 centimeters long and 2 centimeters wide on a map. A cartographer wants to use a scale factor of 3.5 to enlarge the map. What is the area of the enlarged map?

98 cm2
42 cm2
28 cm2
8 cm2

User Channae
by
7.8k points

1 Answer

6 votes

Answer: 98 cm²

Explanation:

When a cartographer enlarges a map with a scale factor, both the length and the width are multiplied by the scale factor. In this case, the scale factor is 3.5.

Original dimensions of Colorado on the map:

Length: 4 cm

Width: 2 cm

Enlarged dimensions using the scale factor of 3.5:

Length: 4 cm × 3.5 = 14 cm

Width: 2 cm × 3.5 = 7 cm

To find the area of the enlarged map, multiply the enlarged length and width:

Area = Length × Width

Area = 14 cm × 7 cm

Area = 98 cm²

The area of the enlarged map is 98 cm².

User Hikmat Khan
by
7.6k points