Rectangle - sides

What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?

Correct answer:

x =  66 cm

Step-by-step explanation:

ab=266 b=a+5 a(a+5)=266 a2+5a266=0  a2+5a266=0  p=1;q=5;r=266 D=q24pr=5241(266)=1089 D>0  a1,2=2pq±D=25±1089 a1,2=25±33 a1,2=2.5±16.5 a1=14 a2=19   Factored form of the equation:  (a14)(a+19)=0   a=14 b=19 o=2(a+b)=66 cm

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