The number of perimeter of a square is 4 units more than the number of its area .what is the area of the square?

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answers:
RR say: Perimeter = 4x
Area = x^2
However P = x^2 + 4
4x = x^2 + 4
x^2 -4x + 4 = 0
factorise
(x - 2) (x - 2)= 0
x = 2

check:
Perimeter = 2 + 2 + 2 + 2 =8
Area = 2 x 2 = 4
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Jeffrey K say: This is not a well defined problem. Perimeter is linear units and area is square units. You can't compare or mix them. You will get different answers if you measure in cm or meters or inches or feet.
You can worked out the numbers in this problem, but physically, it doesn't make sense.
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Krishnamurthy say: The number of perimeter of a square is
4 units more than the number of its area.
4x = x^2 + 4
x^2 - 4x + 4 = 0
(x - 2)^2 = 0
The area of the square is 4.
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la console say: s: side of the square


The perimeter of the square is: → p = 4s

The surface area of the square is: → a = s²


The number of perimeter of a square is 4 units more than the number of its area:

p = a + 4

4s = s² + 4

s² - 4s + 4 = 0

(s - 2)² = 0

s - 2 = 0

s = 2 ← this is the side of the square
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say: The total length of the perimeter of a square is 4 units more than value of its area in units². What is the area of the square?

Call the length of one side of the square L. Perimeter = 4L. Area = L².
4L = 4 + L²
L² - 4L + 4 = 0
(L - 2)² = 0
L = 2

Area = 2² = 4 (units²)

Check: Perimeter = 4x2 units. Since 8 is four more than 4 it checks.
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