What is the area of a rectangle with a base of 3 units and a height of 4 units?
Answer (2)
The problem provides the base and height of a rectangle.
The area of the rectangle is calculated using the formula: Area = base × height .
Substituting the given values, Area = 3 × 4 = 12 .
The area of the rectangle is 12 units 2 .
Explanation
Problem Analysis We are given a rectangle with a base of 3 units and a height of 4 units. Our goal is to find the area of this rectangle.
Area Formula The area of a rectangle is calculated by multiplying its base by its height. In mathematical terms:
Area = base × height
In our case, the base is 3 units and the height is 4 units.
Calculation Now, we substitute the given values into the formula:
Area = 3 units × 4 units
Area = 12 units 2
So, the area of the rectangle is 12 square units.
Final Answer The area of the rectangle with a base of 3 units and a height of 4 units is 12 square units.
Examples
Understanding the area of rectangles is crucial in many real-world scenarios. For example, when you're tiling a floor, you need to calculate the area of the rectangular floor to determine how many tiles you'll need. If each tile covers 1 square foot and your floor is 10 feet long and 8 feet wide, the area is 10 × 8 = 80 square feet, so you'll need 80 tiles. Similarly, when painting a wall, knowing the area helps you estimate how much paint to buy. These calculations ensure you have enough materials and can plan your project effectively.
The area of the rectangle is found using the formula Area = base × height . With a base of 3 units and a height of 4 units, the area calculates to 12 square units. Thus, the area is 12 units 2 .
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