A rectangle 4

A rectangle has an area of 300 and a perimeter of 80. What is the ratio of length and width?

Correct answer:

r =  3:1

Step-by-step explanation:

A=300 p=80  A=ab p=2(a+b)  b=p/2a  A=a(p/2a)  300=a (80/2a) a240a+300=0  p=1;q=40;r=300 D=q24pr=40241300=400 D>0  a1,2=2pq±D=240±400 a1,2=240±20 a1,2=20±10 a1=30 a2=10   Factored form of the equation:  (a30)(a10)=0  a=a1=30 b=p/2a=80/230=10  r=a/b=30/10=3=3:1

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