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# geometry

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The numerical value of a particular square's area is equal to four times the numerical value of its perimeter. What is the length of a side of the square?

Jul 4, 2022

#1
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Let P = the perimeter = 4S

Area of square =   S^2

S^2  =  4 (4S )

S^2  =  16S

S^2 - 16 S =  0

S (S - 16)  = 0

S =  16

Jul 4, 2022
#2
+1113
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Let $$l$$ be the side length of the square.

So, $$l^2=4 \times 4l$$. Simplified: $$l^2=16l$$

Equation's solution is ans

Jul 4, 2022
#3
+1113
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basically L=16

nerdiest  Jul 4, 2022