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the perimiter of a rectangle is 42m. the length is 9m less than 2 times the width. 

 

a. find the length and wodth of the rectangle

b. find the area of the rectangle 

 Mar 29, 2016
 #1
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P  = 2(L + W)       →   L + 9   = 2W

 

42 = 2L + 2W

 

42 = 2L + [ L + 9]    simplify

 

42  = 3L + 9     subtract 9 from both sides

 

33 = 3L     divide both sides by 3

 

11  = L           

 

And  2W  = L + 9  

 

So    2W  =  11 + 9    

 

2W  = 20    divide both sides by 2    and    W  = 10 

 

So  L = 11  and W   = 10

 

And the area  = L *W  =   (11) (10)  = 110 units^2

 

 

 

cool cool cool

 Mar 29, 2016

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