A square room has a 12-foot long wall. What is the floor area?
A. 24 sq. ft.
B. 48 sq. ft.
C. 140 sq. ft.
D. 144 sq. ft.
Answer (1)
Recognize that a square has equal sides.
Calculate the area by multiplying the side length by itself.
Perform the calculation: 12 ft × 12 ft = 144 sq. ft.
The floor area is 144 sq. ft.
Explanation
Problem Analysis We are given a square room with one wall measuring 12 feet. Since it's a square, all sides are equal. We need to find the area of the floor.
Area Calculation The area of a square is calculated by multiplying the length of one side by itself (side * side). In this case, the side is 12 feet. So, the area will be 12 feet * 12 feet.
Calculating the Area Let's calculate the area: A re a = s i d e × s i d e = 12 ft × 12 ft = 144 sq. ft.
Final Answer Therefore, the floor area of the square room is 144 square feet.
Examples
Understanding area is crucial in many real-life scenarios. For instance, when planning to tile a floor, you need to calculate the area to determine how many tiles to purchase. Similarly, when buying a property, the area of the land or building is a key factor in determining its value. Knowing how to calculate area helps in efficient planning and decision-making in various practical situations.
