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.
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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