Question

4 added to the sum of the perimeter and area of a square gives 25.find the length of side of square ​

Answer 1

Answer:

area =x2

perimeter =4x

Now, x2+4x+4=25

x2+4x-21=0

x2-3x+7x-21

x(x-3)+7(x-3)

(x+7)(x-3)

so x=3 this is your answer

if it helps please mark me as brainlist

Answer 2

Answer:

The length of side of square is 3 units.

Step-by-step-explanation:

Let the length of side of square be x units.

∴ Area of square = ( side )²

∴ Area of square = x² unit.

Also,

Perimeter of square = 4 × side

∴ Perimeter of square = 4x units.

Now, from the given condition,

x² + 4x + 4 = 25

⇒ x² + 4x + 4 - 25 = 0

⇒ x² + 4x - 21 = 0

⇒ x² + 7x - 3x - 21 = 0

⇒ x ( x + 7 ) - 3 ( x + 7 ) = 0

⇒ ( x + 7 ) ( x - 3 ) = 0

⇒ x + 7 = 0 or x - 3 = 0

⇒ x = - 7 or x = 3

But, the length of side of square cannot be negative.

∴ x = - 7 is unacceptable.

∴ x = 3 units is the length of the side of square.

The length of side of square is 3 units.