Rectangular 26641

The area of the work surface of the rectangular table is 70 dm2, and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table.

Correct answer:

a =  7 dm

Step-by-step explanation:

S=70 dm2 p=34 dm S=ab p=2(a+b)  70=ab 34/2=a+b  a(p/2a)=S  a(34/2a)=70 a2+17a70=0 a217a+70=0  p=1;q=17;r=70 D=q24pr=1724170=9 D>0  a1,2=2pq±D=217±9 a1,2=217±3 a1,2=8.5±1.5 a1=10 a2=7   Factored form of the equation:  (a10)(a7)=0  a=a2=7=7 dm

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