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

Our quadratic equation calculator calculates it.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Check out our ratio calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: