Math, asked by snozz, 6 days ago

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Answered by pratimakolkata9
0

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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