Question

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

Answer 1

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.