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svetlana [45]
3 years ago
11

If 1 Inch represents 12 feet what dimensions would you use to make a scale drawing of 70 feet by 80 feet

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

The dimensions are 5.83 inches and 6.67 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The scale drawing is a ratio between the actual length and

  the drawing length

- The terms of the ratio must have the same units, then the terms

  of the scale drawing must have same units

* Lets solve the problem

- 1 inch represents 12 feet

∵ 1 foot = 12 inches

∴ 12 feet = 12 × 12 = 144 inches

∴ The scale drawing is 1 : 144

- That means 1 inch in drawing represents 144 inches in actual

∵ The dimensions are 70 feet by 80 feet

∴ 70 feet = 70 × 12 = 840 inches

∴ 80 feet = 80 × 12 = 960 inches

∵ The scale drawing = 1 : 144

∵ The actual dimensions are 840 inches and 960 inches

∴    1     :     144

     ?     :     840

     ?     :     960

∴ 70 feet = 5.83 inches

∴ 80 feet = 6.67 inches

* The dimensions are 5.83 inches and 6.67 inches

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