Respuesta :
Square have 4 equal sides length = a
A = 255
A = a^2
255 = a^2 |sqrt
15 = a
P = 4a
P = 4*15 = 60
A = 255
A = a^2
255 = a^2 |sqrt
15 = a
P = 4a
P = 4*15 = 60
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: https://brainly.com/question/3619302
- Area of a square: https://brainly.com/question/7511709
Level: Middle school
Subject; Mathematics
Topic: Area and Perimeter