On a building plan, a line 20cm long represents a distance of 10m. Device a diagonal scale for the plan to read up to 12m, showing meters, decimeters & centimeters. Show on your scale the lengths 6.48m & 9.14m.
Answers
Given : On a building plan, a line 20cm long represents a distance of 10m.
To Find : scale for the plan to read up to 12m
Solution:
a line 20cm long represents a distance of 10m.
=> a line 1 cm represents a distance of 10/20 m.
=> a line 1 cm represents a distance of 1/2 m
a line x cm represents a distance of x/2 m
x/2 = 10
=> x = 20
Scale upto 20 cm need to be designed
Let say A cm on scale represent 6.48 m
=> A/2 = 6.48
=> A = 12.96 cm
12.96 cm on scale represents the lengths 6.48m
Let say B cm on scale represent 9.14 m
=> B/2 = 9.14
=> B = 18.28 cm
18.28 cm on scale represents the lengths 9.14m.
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