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Emily is building a model of her dog house. The height of the actual dog house is 4 feet.

Part A

If the scale of the model is 4 inches = 2.5 feet, what would be the height of the model? Show and explain all of your work.

Part B

If the scale of the model was changed to 6 inches = 1.5 feet, what would be the height of the model? Show and explain your work.

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Edufirst

Answer:

  • Part A: 6.4 in
  • Part B: 16 in

Explanation:

Part A

  • Actual dog house's height = 4 feet

  • Scale of the model: 4 inches / 2.5 feet,

  • Height of the model

        Set a proportion:

        4 in / 2.5 ft = x / 4 ft

  • Solve for x:

        Multiply both sides by 4 ft and simplify:

        x = 4 ft × 4 in / 2.5 ft = 16 / 2.5 in = 6.4 in

Part B

  • Actual dog house's height = 4 feet

  • Scale of the model: 6 inches / 1.5 feet,

  • Height of the model

        Set a proportion:

        6 in / 1.5 ft = x / 4 ft

  • Solve for x:

        Multiply both sides by 4 ft and simplify:

        x = 4 ft × 6 in / 1.5 ft = 24 / 1.5 in = 16 in

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