A 1-inch length in the scale drawing below corresponds to a length of 12 feet in the actual room. Describe how the scale or the scale factor can be used to determine the area of the actual dining room.
Answers
Given : 1-inch length in the scale drawing corresponds to a length of 12 feet in the actual room.
To Find : how the scale or the scale factor can be used to determine the area of the actual dining room.
Solution:
1-inch length in the scale drawing corresponds to a length of 12 feet in the actual room.
1 feet = 12 inch
=> 1-inch length in the scale drawing corresponds to a length of 12 * 12 = 144 inch in the actual room.
Linear Scale is 1 : 144
Area = Length x Breadth
Scale for Area = 1² : 144²
=> 1 : 20736
1 : 20736 scale factor can be used to determine the area of the actual dining room.
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