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A rectangular flower bed is enlarged so that its area increases by 14 m². The enlarged flower bed is a rectangle and its area is x2+9x+14 m².


What expressions represent the dimensions of the flower bed before the increase?


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[ ] m and [ ] m

Verified Answer :

Answer: Dimensions of the flower bed before the increase are x meters  and x+9 meters.

Step-by-step explanation:

Since we have given that

A rectangular flower bed is enlarged so, its area increases by 14 m².

So, Enlarged area of flower bed = \(x^2+9x+14\)

We need to find the dimensions of the flower bed before the increase.

so, Let the original area be 'A'

so, it can be written as :

\(A+14=x^2+9x+14\\\\A=x^2+9x\\\\A=x(x+9)\)

Since we know the area of rectangular flower bed is Length × Breadth

So, Dimensions of the flower bed before the increase are x meters  and x+9 meters.

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