A rectangle 4

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

Final 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

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

algebraplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
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