Please Help! After one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of a new flower bed became twice the area of an old one. How long was the side of the old flower bed?

Then, one side of the square is enlarged by 2ft, and another side 3ft. Our new flower bed dimensions are now (x+2) and (x+3). Multiply (x+2) and (x+3) to find the area, which gets you [tex]5x^{2} +6x+6[/tex].

We also know that the new area of the flower bed is twice the size of the original flower bed. Multiply the original area by 2, you get [tex]2x^{2}[/tex].

With the new area and the doubled original area, we can now make an equation: [tex]5x^{2} +6x+6=2x^{2}[/tex]

Solve for x, you get 6.

Hope this explanation helped, maybe a bit too many details but there's your answer, 6!

abidemiokin abidemiokin · Answer 2 · 2022-03-15T12:50:39+01:00

The side length of the original bed is 6 units

Area of square

The formula for finding the area of the square is expressed as:

A = x^2

If one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of the bed becomes;

A = (x+2)(x+3)

A = x^2 + 5x + 6

If the area of a new flower bed became twice the area of an old one, then;

5x^2 + 6x + 6 = 2x^2

On factorizing, the value of x is 6 which shows that the side length of the original bed is 6 units

Learn more on the area of square here: https://brainly.com/question/25092270

Please Help! After one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of a new flower bed became twice the area of an old one. How long was the side of the old flower bed?​

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Area of square

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Please Help! After one side of a square flower bed was enlarged by 2 ft and the other side was enlarged by 3 ft, the area of a new flower bed became twice the area of an old one. How long was the side of the old flower bed?