If the floor of a square office is 225 square units, what is the perimeter of the offic
The Correct Answer and Explanation is:
Correct Answer: 60 units
Explanation
To solve the problem, we need to understand the relationship between the area and perimeter of a square.
We are told that the area of a square office is 225 square units. The area of a square is calculated using the formula: Area=side2\text{Area} = \text{side}^2
So if the area is 225 square units, we can set up the equation: side2=225\text{side}^2 = 225
To find the side length, we take the square root of both sides: side=225=15\text{side} = \sqrt{225} = 15
Now that we know each side of the square is 15 units long, we can calculate the perimeter. The perimeter of a square is given by: Perimeter=4×side\text{Perimeter} = 4 \times \text{side}
Substitute the side length: Perimeter=4×15=60 units\text{Perimeter} = 4 \times 15 = 60 \text{ units}
Why This Works
A square is a special type of rectangle where all four sides are equal in length. Because of this, once we know the area, we can find the side by taking the square root. This method works only because all sides are equal — it wouldn’t apply the same way for rectangles or irregular shapes.
Understanding area and perimeter is crucial in real-world applications like architecture, design, and landscaping. In this case, knowing the perimeter helps us understand how much material would be needed to enclose the space — for example, if you were putting up a fence or molding along the walls.
Final Answer: 60 units
