the width of a rectangle card is 2 cm.less than the lenght.the area is 35 cm².find the length and width.
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let the length n width be x and x-2
we know
area of a rectangle=35
x*(x-2)=35
x²-2x=35
x²-2x-35=O
x²-(7-5)x-35(splitting the middle term)
x²-7x+5x-35
x(x-7) +5 (x-7)
(x-7)(x+5)
Either x-7=O or x+5=0
x=7. or. x=-5(not possible)
Therefore,lenght=x
=7
breadth=x-2
=7-2
=5
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