A photograph

A photograph will stick to a white square letter with a x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm2. Find the size of paper and photo.

Correct result:

a =  39.8458 cm
b =  29.8843 cm
c =  20 cm

Solution:

S1=a2 b=3/4 a c=20 S2=b c S1S2=990 cm2  a23/4a20=990  a23/4 a 20=990 a215a990=0  p=1;q=15;r=990 D=q24pr=15241(990)=4185 D>0  a1,2=q±D2p=15±41852=15±34652 a1,2=7.5±32.3457879793 a1=39.8457879793 a2=24.8457879793   Factored form of the equation:  (a39.8457879793)(a+24.8457879793)=0  a=a1=39.8458=39.8458 cm

Our quadratic equation calculator calculates it.

b=3/4 a=3/4 39.8458=29.8843 cm
c=20=20 cm  S1=a2=39.845821587.6868 cm2 S2=b c=29.8843 20597.6868 cm2



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