The area of a square deck is w²+10w+25. what is the side length of the deck. if w=4, what is the area and what is the perimeter.

For the given square area expression,  the Area of Square is 81 unit²  And the perimeter of square is 36 units

Step-by-step explanation:

Given as :

The area of a square deck is w² + 10 w +25

The value of w = 4

Let the side length of deck = S

Now put the value to w in given square area

I.e w² + 10 w +25

Or, (4)² + (10 × 4) + 25

Or,  16 + 40 + 25

So, Area of square with side s = 81 unit²

∴ Area of square = side × side

Or, 81 unit² = s²

∴ s = = 9 unit

So , Side  = 9 unit

Now perimeter of square = 4 × side

I.e     perimeter of square = 4 × 9

Or,     perimeter of square = 36 unit

Hence for the given square area expression,  the Area of Square is 81 unit²  And the perimeter of square is 36 units    Answer

Each Side of the squared deck = (w + 5)

If w = 4, the area of the square =  81 sq units

             perimeter of the square = 36 units,

Step-by-step explanation:

The area of the square deck  is

Now, Area of the Square  is  

Factorizing the given expression, we get

or,

or,

⇒

⇒ The area of the Square deck is

Comparing it with the formula for area,

we get each Side of the squared deck = (w + 5)

Now, if w =  4, then each side = 4+ 5 = 9 units

Hence, the area of the square =  9 x 9 = 81 sq units

Perimeter of the squire =  4 x SIDE =  4 x 9 = 36 units

12*c

step-by-step explanation: