1.

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:Area: `25 a^2-35 a+12` Area: `35 y^2+13 y-12`(i) (ii)

Answer» (i) `25a^2 - 35a +12`
`= 25a^2 - 15a -20a +12`
`= 5a(5a-3) - 4(5a-3)`
`= (5a-4)(5a-3)`
so, `l = 5a-3`
`b= 5a-4`
(ii) `35y^2 +13y - 12`
`35y^2 - 15y +28y -12`
`= 5y(7y-3)+4(7y-3)`
`= (5y+4)(7y-3)`
`l = 5y+4`
`b= 7y-3`
answer


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