Nick and lisa are building a square pond in their backyard. They wish to put a 2 foot wide brick border around the outside. If the total area of the border and the pond is 196 square feet, find the length of the side of the pond.

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andromache andromache · Answer 1 · 2020-11-24T01:52:19+01:00

Answer:

the length of the pond is 10 feet.

Step-by-step explanation:

The computation of the length of the pond side is shown below:

Let us assume the length of the pond side be x feet

Now the one side length with the brick border is x + 4

And, the pond is 196 square feet

Now the equation would be

(x + 4)^2 = 196

(x+4) = 14

x = 10

Therefore, the length of the pond is 10 feet.

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boffeemadrid boffeemadrid · Answer 2 · 2022-03-03T12:04:47+01:00

The length of each side of the pond is required.

The length of the side of the pond is 10 feet.

Let [tex]x[/tex] be the length of each side of the pool.

If the brick layer is 2 foot wide the size then 2 foot would be added to all the sides of the pool.

The length of each side would be [tex]x+2+2=x+4[/tex]

The area of the pool is [tex]196[/tex] square feet.

So,

[tex](x+4)^2=196\\\Rightarrow x+4=\sqrt{196}\\\Rightarrow x+4=\pm14\\\Rightarrow x=10,-18[/tex]

Since, negative number cannot be the length.

[tex]x=10\ \text{feet}[/tex]

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