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Talja [164]
2 years ago
7

the length of a rectangle is 2ft more than twice the width. The area is 180 ft^2. find the length and width of the rectangle

Mathematics
1 answer:
Mariana [72]2 years ago
3 0

Answer:

Area = length * width

 

112 = (2w+2)*w

 

112 = 2w^2 + 2w

 

0 =2w^2 + 2w - 112

 

0 = w^2 + w - 56

 

0 = (  w  +  8  )( w  -    7  )

 

w+8=0  results in negative measures

 

w-7=0 --> w = 7

 

width is 7

length is 16

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you basically find the equation of the line first and eliminate the wrong answers...

Strategy:  before u do any of this, label your coordinates as (X1,Y1) and (X2,Y2) and u can choose any of ur points to be as x1 or x2 or y1 or y1...
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First you have to  find the gradient (m) of the line.
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replace the digits and solve...Hopefully you'll get sth like this if you use the points (6,7):
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Hope you get it!




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3 years ago
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