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the perimeter of rectangle is 28m &its diagonel is 10m.what are the eengths of its sides

Perimeter of a rectangle = 2(l +  b)
28 /2 = l + b implies l = 14 - b
we know that d2 = l 2 + b2
                              102 = (14 - b)2 + b2 
                              100 =   196 -28b +  b2   +    b2 
                             2b2  - 28b + 96 = 0 
     ie, b2  -14 b +48 = 0 implies (b - 6)(b - 8) = 0
           b =6 or b = 8
If b = 6 then,  l=14 - 6 =8
If b= 8 then , l = 14 - 8 = 6 


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