SOLUTION: The length and the breadth of a rectengle are increased by 12% and x% respectively,thereby the area of the rectengle increased by 40%. What is the value of x?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: The length and the breadth of a rectengle are increased by 12% and x% respectively,thereby the area of the rectengle increased by 40%. What is the value of x?      Log On


   

Question 994090: The length and the breadth of a rectengle are increased by 12% and x% respectively,thereby the area of the rectengle increased by 40%. What is the value of x?
Answer by stanbon(75887) About Me  (Show Source):
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The length and the breadth of a rectengle are increased by 12% and x% respectively,thereby the area of the rectengle increased by 40%. What is the value of x?
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Original DATA: length = L ; Breadth = B ; Area = LB?
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New Area Equation:
1.12L * (1+x/100)B = 0.40LB
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1.12(1+x/100) = 0.4
1+(x/100) = 1.25
x/100 = 0.25
x = 25
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Cheers,
Stan H.