Dimensions 81100

The area of the rectangle is 81.25 cm2. If we increase its length by 5 mm, its area increases by 4%. Determine its dimensions.

Correct answer:

a =  125 mm
b =  65 mm

Step-by-step explanation:

S=81.25 cm2 mm2=81.25 100  mm2=8125 mm2 x=5 mm r=100%+4%=1+1004=1.04  S=ab S r = (a+x) b S r = (a+x) (S/a) S r a = (a+x) S  r a=a+x 1.04 a=a+5  0.04a=5  a=0.045=125  a=125=125 mm
b=S/a=8125/125=65=65 mm   Verifying Solution:  S1=a b=125 65=8125 mm2 S2=(a+x) b=(125+5) 65=8450 mm2 r2=S2/S1=8450/8125=2526=1.04



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: