If the floor of a square office is 225 square units, what is the perimeter of the office?

The perimeter of an office whose floor area is 225 square units is 60 units

Further Explanation

Area

• Area is a measure of how much space is occupied by a given shape.
• Area of a substance is determined by the type of shape in question.

For example;

• Area of a rectangle is given by; Length multiplied by width
• Area of a triangle = 1/2 x base x height
• Area of a circle = πr². where r is the radius of a circle,
• Area of a square = S², Where s is the side of the square.etc.

Perimeter

• Perimeter is defined as the distance along a two dimension shape.  Perimeter of different shapes is given by different formulas

For example;

• The perimeter of a rectangle = 2(length+width)
• The perimeter of a triangle = a+b+c; where a, b and c are the sides of the triangle. etc.

In this case;

We are given the area of a square as 225 square units

Therefore; since the area of a square is given as s², where s is the side of the square.

Then; s² = 225

         s = √ 225

             = 15 units

But Perimeter of a square is given by; 4 × s

Thus; Perimeter = 4 × 15 units

                           = 60 units

Keywords; Perimeter, Area

Learn more about;

• Perimeter of a square example: brainly.com/question/3619302
• Area of a square: brainly.com/question/7511709

Level: Middle school

Subject; Mathematics

Topic: Area and Perimeter