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If the area of a certain square (expressed in square meters) is added
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07 Jan 2023, 15:08
07 Jan 2023, 15:08
Expert Reply
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Question Stats:
92% (01:18) correct
7% (02:25) wrong based on 13 sessions
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If the area of a certain square (expressed in square meters) is added to its perimeter (expressed in meters), the sum is 77. What is the length of a side of the square?
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Re: If the area of a certain square (expressed in square meters) is added
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15 Jan 2023, 01:20
15 Jan 2023, 01:20
1
Expert Reply
The area of the square is s^2
The perimeter is 4s
Make an equation s^2+4s=77
Solve and we do have s=-11 and s=7
Negative sign is not possible therefore s=7
The perimeter is 4s
Make an equation s^2+4s=77
Solve and we do have s=-11 and s=7
Negative sign is not possible therefore s=7
Re: If the area of a certain square (expressed in square meters) is added
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03 Sep 2023, 23:01
03 Sep 2023, 23:01
2
The area of a certain square = \(x^2\)
The perimeter = \(4x\)
Their sum is \(77\)
\(x^2 + 4x = 77\)
\(x^2 + 4x - 77 = 0\)
\(x^2 + 11x - 7x - 77 = 0\)
\(x(x+11) -7(x+11) = 0\)
\((x-7)(x+11) = 0\)
\(x = 7 or -11\)
Since the side of a square cannot be negative, \(x = 7\) is the correct answer.
The perimeter = \(4x\)
Their sum is \(77\)
\(x^2 + 4x = 77\)
\(x^2 + 4x - 77 = 0\)
\(x^2 + 11x - 7x - 77 = 0\)
\(x(x+11) -7(x+11) = 0\)
\((x-7)(x+11) = 0\)
\(x = 7 or -11\)
Since the side of a square cannot be negative, \(x = 7\) is the correct answer.
