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17 June, 10:26

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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Answers (1)
  1. 17 June, 12:23
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    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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