Question

If area of a square is 4r^2 - 16x + 16 sq unit. Then, find the side of square. Also find the
perimeter of the square, if x=3.​

Answer 1

Answer:

side-4.5unit

perimeter - 18 units

Answer 2

Answer:

Length of the square is 2 units.

The perimeter of the square is 8 units.

Step-by-step explanation:

Let the side of the square be 's'

Given,

The area of square (A) = 4x² - 16x + 16 sq units

And the value of x = 3

To find,

Side of the square and the perimeter of the square.

We know that area of the square = s² = 4x² - 16x + 16

⇒ s² = 4x² - 8x - 8x + 16

⇒ s² = 4x(x - 2) -8(x - 2)

⇒ s² = 4(x - 2)²

⇒ s = 2(x - 2)

if x = 3

then,

s = 2(3 - 2)

⇒ s = 2 units

therefore, length of the square is 2 units.

For the perimeter of the square we know that

perimeter of the square(P) = 4s

i.e. P = 4(2)

Therefore, the perimeter of the square is 8 units.

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