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Answer: ( x - 10)m
Step by step explanation:
Let the width of rectangular path be y then,
As we know that area of rectangle = length × breadth
Now length = (x - 9)m and area = (x^2 - 19x + 90)
We can factorize,
= x^2 - 10x - 9x +90
= x(x - 10) - 9(x - 10)
= (x - 10)(x - 9)m^2
Now we put these values in area formula and solve for y
=> y(x - 9) = (x - 9)(x - 10)
cancel the factor (x - 9) and solve resulting equation
=> y = (x - 10)
Hence breadth = (x - 10)m
Hope your query done!
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