Area Math Example 4

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Example 4

medium
A trapezoid has parallel sides of 88 cm and 1414 cm, and a height of 55 cm. Find its area.

Solution

  1. 1
    Use the trapezoid area formula: A=12(b1+b2)hA = \frac{1}{2}(b_1 + b_2) h.
  2. 2
    Substitute: A=12(8+14)(5)=12(22)(5)=55A = \frac{1}{2}(8 + 14)(5) = \frac{1}{2}(22)(5) = 55 cm².

Answer

A=55 cm2A = 55 \text{ cm}^2
The trapezoid formula averages the two parallel bases and multiplies by the height, generalising the rectangle and triangle formulas.

About Area

The amount of two-dimensional space inside a flat shape, measured in square units.

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More Area Examples

Example 1 easy

Find the area of a rectangle with length [formula] cm and width [formula] cm.

Example 2 medium

Find the area of a triangle with base [formula] cm and height [formula] cm.

Example 3 medium

Find the area of a trapezoid with parallel sides [formula] cm and [formula] cm, and height [formula]

Example 5 medium

A parallelogram has base [formula] cm and area [formula] cm². Find its height.

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