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The perimeter of a square is 100 feet and area is 625 square feet . what is the length of each side

Respuesta :

25 feet each.  All you have to do is divide the perimeter by how many sides.

Answer:

25 feet.

Step-by-step explanation:

Given : The perimeter of a square is 100 feet .

            The area is 625 square feet .

To Find: What is the length of each side?

Solution:

Let the side of square be x

Formula of perimeter of square = [tex]4 \times side[/tex]

Perimeter of square =  [tex]4 \times x[/tex]

The perimeter of a square is 100 feet .

So,  [tex]100=4 \times x[/tex]

[tex]\frac{100}{4}=x[/tex]

[tex]25=x[/tex]

Area of square = [tex]Side^2[/tex]

                        = [tex](25)^2[/tex]

                        = [tex]625 ft^2[/tex]

The calculated area is same as the given area.

Hence the side of the square sis 25 feet.