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Question: The figure shows the layout of a house. If the actual length of the living room is 12 ft, find the scale used to draw the layout.



A ) 1 cm : 4 ft
B ) 1 cm : 5 ft
C ) 4 cm : 1 ft
D ) 1 in. : 4 ft

Steps to derive

1 The scale is the ratio of the length of the living room in the picture to its actual length.

2 3 cm12 ft = 3 ÷ 312 ÷ 3 = 14 or 1 : 4
 [Divide both numerator and denominator by 3.]

3 So, the scale used to draw the layout is 1 cm : 4 ft.



Hence the right answer is Option A

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