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/2−a  A=a⋅ (p/2−a)  300=a⋅ (80/2−a) a2−40a+300=0  p=1;q=−40;r=300 D=q2−4pr=402−4⋅1⋅300=400 D>0  a1,2​=2p−q±D​​=240±400​​ a1,2​=240±20​ a1,2​=20±10 a1​=30 a2​=10  a=a1​=30 b=p/2−a=80/2−30=10  r=a/b=30/10=3=3:1

Our quadratic equation calculator calculates it.


Try another example


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:

algebraplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

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

Related math problems and questions: