An architect is recreating the blueprint for a deck with an existing scale factor of 1in.=2ft. Using 12in by 8in. The architect is using a d

Question

An architect is recreating the blueprint for a deck with an existing scale factor of 1in.=2ft. Using 12in by 8in. The architect is using a different scale so that the length of the deck on the new blueprint measures 8 inches. What is the scale factor of the new blueprint? What is the width of the deck on the new blueprint?

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Claire 5 days 2021-10-07T12:43:59+00:00 2 Answers 0

Answers ( )

    0
    2021-10-07T12:45:13+00:00

    Answer:

    New scale factor is 1 inch = 3 ft.

    New width of the blueprint = (16/3) inches = 5.3333 inches

    Step-by-step explanation:

    Initial scale factor is 1 inch = 2 ft

    And the architect draws a blueprint of 12 inches by 8 inches.

    Converting to real life scale using 1 inch = 2 ft

    Length = 12 inches = 12 × 2 ft = 24 ft

    Width = 8 inches = 8 × 2 ft = 16 ft.

    New scale factor turns the length to 8 inches

    Scale factor = (length in the drawing)/(real life length)

    Scale factor = (8 inches)/(24 ft) = (1 inch)/(3 ft)

    Hence, new scale factor is 1 inch = 3 ft.

    New width of the blue print

    3 ft in real life = 1 inch on paper

    16 ft in real life = (16/3) inches on paper

    New width of the blueprint = (16/3) inches = 5.333 inches

    0
    2021-10-07T12:45:18+00:00

    Answer:

    first answer for part a is 1 inch=3ft and the second answer for part b is 16/3

    Step-by-step explanation:

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