Area of Trapezoid

base1 = 4, base2 = 15, height = 15

Answer:

142.5 square units

Shape Visualization

Trapezoid with bases 4 and 15 units, height 15 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 + 15 = 19
3

Multiply by height

19 × 15 = 285
4

Multiply by ½ (divide by 2)

285 ÷ 2 = 142.5
5

Final answer

Area = 142.5 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 15m, height 15m = 142.5 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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