Question:Within a rectangular garden 10 m wide and 20 m long, we wish to pave a walk around the borders of uniform so as to leave an area of `96 m^2`for flowers.How wide should the walk be ? 

A 1 m 
B 2 m 
C 2.1 m 
D 2.5 m 

+ Answer
B 

+ Explanation
Let the width of walk be x metres. Then,

`(20 - 2x) (10 - 2x) = 96`

`or 4x^2 + 60x - 104`

`= 0 or x^2 + 15x - 26 = 0`

`or (x - 13) (x - 2) = 0`

So, `x = 2 [:. x =/ 13]

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Irin Moni

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