Area of Trapezoid

base1 = 4, base2 = 7, height = 5

Answer:

27.50 square units

Shape Visualization

Trapezoid with bases 4 and 7 units, height 5 units

Step-by-Step Solution

1

Identify the formula for area of a trapezoid

A = ½ × (base₁ + base₂) × height
2

Add the two bases

4 + 7 = 11
3

Multiply by height

11 × 5 = 55
4

Multiply by ½ (divide by 2)

55 ÷ 2 = 27.50
5

Final answer

Area = 27.50 square units

Formula Used

A = ½ × (base₁ + base₂) × height

This formula calculates the area of a trapezoid.

Real-World Applications

1

A trapezoidal land plot with bases 4m and 7m, height 5m = 27.50 m²

Understanding Trapezoid Area

The area of a trapezoid is a fundamental concept in geometry. Area measures the amount of space inside a 2D shape, typically expressed in square units.

By using the formula A = ½ × (base₁ + base₂) × height, we can quickly and accurately calculate the area for any trapezoid when we know the required measurements.

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