SOLUTION: A rectangle has a perimeter of 34 cm and an area of 52 cm2. Its length is 5 more than twice its width. What are the dimensions of the rectangle?
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Question 858189: A rectangle has a perimeter of 34 cm and an area of 52 cm2. Its length is 5 more than twice its width. What are the dimensions of the rectangle?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A rectangle has a perimeter of 34 cm and an area of 52 cm2. Its length is 5 more than twice its width. What are the dimensions of the rectangle?
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let x=width
2x+5=length
2(length+width)=perimeter
2(x+2x+5)=34
6x+10=34
6x=24
x=4
width=4
length=2x+5=13
...
length * width=area
x(2x+5)=52
2x^2+5x=52
2x^2+5x-52=0
(x-4)(2x+13)=0
x=4
width=4
length=13
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