SOLUTION: A rectangular plot has benn fenced with 300m long wire. Find the lenght and width of the plot if the length is twice its width?

Question 79186This question is from textbook Algebra for College Students
: A rectangular plot has benn fenced with 300m long wire. Find the lenght and width of the plot if the length is twice its width? This question is from textbook Algebra for College Students

Answer by sprolden(40) (Show Source): You can put this solution on YOUR website!
A rectangular plot has benn fenced with 300m long wire. Find the lenght and width of the plot if the length is twice its width?
1- Let x=width. If the length is twice the width, then the length must be 2 times x.
2- The formula for perimeter says that the perimeter is equal to 2 times the length plus 2 times the width. Therefore, 300 = 2(2x)+2(x).
3- Combine like terms.
300 = 4x + 2x
300 = 6x
4- Divide both sides by 6.
300/6 = 6x/6
50 = x
5- The width is 50 m.
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