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



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