begin mathsize 12px style The space length space of space the space rectangle space as space measured space on space straight a space scale space in space which space 1 space cm equals 10 space straight m
is space 5 space cm. The space actual space are space of space the space rectangle space is space 500 space straight m squared. space Find space the space scaled space width space of space the space rectangle ?
end style

Please provide solution to this question

Asked by Topperlearning User | 3rd Oct, 2017, 09:28: AM

Expert Answer:

begin mathsize 12px style Let space the space scale space be space straight k equals fraction numerator 1 space cm over denominator 10 space space straight m end fraction equals 1 over 1000
Scaled space area equals straight k squared cross times actual space area
space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 10 to the power of 6 cross times 500 cross times 10 to the power of 4 space cm squared equals 5 space cm squared
Scaled space length equals 5 space cm
So space scaled space width equals fraction numerator scaled space area over denominator scaled space length end fraction equals 1 space cm end style

Answered by  | 3rd Oct, 2017, 11:28: AM

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