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horrorfan [7]
3 years ago
15

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 n

ew flower bed became twice the area of an old one. How long was the side of the old flower bed?​
Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

Its 6 feet

Step-by-step explanation:

lots of feet 6 is, 6 feet the answer is

(rsm gang was here)

stiks02 [169]3 years ago
3 0

The problem says we have a square flower bed to start out with.

Let's have the sides of the squares be "x". The area of this original flower bed is x^{2}.

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 5x^{2} +6x+6.

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 2x^{2}.

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

Solve for x,  you get 6.

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

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