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galina1969 [7]
2 years ago
9

The area of a square is numerically 45 more than the perimeter. find the length of the side

Mathematics
1 answer:
omeli [17]2 years ago
4 0
Area of square = l²
Perimeter of square = 4l

According to the question, 
l^2 = 45 + 4l \\\\ l^2 - 4l - 45 = 0 \\\\ l^2 -9l+5l-45=0 \\\\ l(l-9)+5(l-9) =0 \\\\(l-9)(l+5)=0

Using zero product property,

Either, 
l-9 = 0 \\
~~~~~~l = 9

Or,
l+5=0 \\
~~~~~~l=-5

Since length can't be negative, the length is 9


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