The length of one side of the garden is (2x +7) feet. The correct option is A. (2x + 7) feet
Calculating the area of a square
From the question, we are to determine the length of one side of the garden
The area of square is given by the formula,
[tex]A = l^{2}[/tex]
Where A is the area
and [tex]l[/tex] is the length of one side of the square
From the given information,
The area of the garden is 4x² + 28x + 49 square feet
The expression can be simplified as follows
4x² + 28x + 49
4x² + 14x + 14x + 49
2x(2x + 7) +7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
Therefore, the area of the garden is (2x + 7)²
Then,
[tex](2x + 7)^{2} =l^{2}[/tex]
By comparison,
[tex]l =(2x + 7) \ feet[/tex]
Hence, the length of one side of the garden is (2x +7) feet. The correct option is A. (2x + 7) feet
Here is the correct question:
Sam decides to build a square garden. If the area of the garden is 4x2 + 28x + 49 square feet, what is the length of one side of the garden?
A. (2x + 7) feet
B. (7x + 2) feet
C . (2x − 7) feet
D. (7x − 2) feet
Learn more on Calculating the area of a square here: https://brainly.com/question/9899299
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