Question: The figure shows the picture of a drawing room along with the scale. Using the scales, estimate the actual length by which the drawing room is longer than kitchen.
A ) 6 feet B ) 9 feet C ) 3 feet D ) 5 feet
Steps to derive
1 Let n and m be the actual lengths of the kitchen and the drawing room.
[Write the proportion using the scale.]
214.5 = 2n
[Write the cross products.]
3n × 1 = 4.5 × 2
[Multiply.] 4n = 9
5 The actual length of the kitchen is 9 feet.
[Write the proportion using the scale.]
614.5 = 4m
[Write the cross products.]
7m × 1 = 4.5 × 4
[Multiply.] 8m = 18
9 The actual length of the drawing room is 18 feet.
10 The actual length by which drawing room is longer than kitchen [Subtract.] 10 = 18 - 9 = 9 feet
11 So, the drawing room is 9 feet longer than kitchen.
