Rectangle - sides

A rectangle has an area of 340 cm². The shorter side is 3 cm less than the longer side. What is the perimeter of the rectangle?

Final Answer:

o =  74 cm

Step-by-step explanation:

S=340 cm2  ab = S b = a + 3 a(a+3) = S  a2+3 aS=0  a2+3 a340=0 a2+3a340=0  p=1;q=3;r=340 D=q24pr=3241(340)=1369 D>0  a1,2=2pq±D=23±1369 a1,2=23±37 a1,2=1.5±18.5 a1=17 a2=20  a=a1=17 cm b=a+3=17+3=20 cm  o=2 (a+b)=2 (17+20)=74=74 cm   Verifying Solution:  S2=a b=17 20=340 cm2

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