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Mike and talia each make a scale drawing of the right side of their house. The scale of the side of the actual house to Mikes drawing of the side of the house, shown below is 3ft to 1 in. The scale of the side the actual house to Talias drawing of the side of the house is 5ft to 1 in. What are the width and height of the house in Talias scale drawing?

Answer :

FICHOHGO

The width and height of Talia's Scale drawing are :

  • Width = 4.35 in
  • Height = 5.7 in

We can obtain the actual length of the side of the house from Mike's drawing :

  • Mike's scale = 3 ft to 1 in

Actual measurements:

  • Scale ratio × model drawing
  • Height, h = 9.5 × 3 = 28.5 feets
  • Width, w = 7.25 × 3 = 21.75 feets

Measurement of Talia's Scale drawing :

  • Talia's scale = 5 ft to 1 in
  • Actual measurement ÷ scale
  • Height = 28.5 ÷ 5 = 5.7 in
  • Width = 21.75 ÷ 5 = 4.35 in

The width and height of Talia's scale drawing are 5.7 and 4.35 respectively.

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