Question

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

Answer 1

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

Answer 2

Square have 4 equal sides length = a

A = 255 
A = a^2

255 = a^2   |sqrt
15 = a

P = 4a 
P = 4*15 = 60