Trapezoid

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.

Properties of a Trapezoid

A trapezoid has four sides and four angles.
It has at least one pair of parallel sides.
The sum of the interior angles of a trapezoid is 360 degrees.
The diagonals of a trapezoid are not necessarily equal in length.

Formulas for a Trapezoid

Area of a trapezoid = ((base1 + base2) * height) / 2

Perimeter of a trapezoid = sum of all the sides

Example

Find the area and perimeter of a trapezoid with base1 = 5 cm, base2 = 9 cm, and height = 4 cm.

Area = ((5 + 9) * 4) / 2 = 56 square cm

Perimeter = 5 + 9 + 4 + 4 = 22 cm

Practice Problems

Find the area of a trapezoid with base1 = 6 cm, base2 = 10 cm, and height = 8 cm.
Find the perimeter of a trapezoid with sides measuring 7 cm, 9 cm, 7 cm, and 11 cm.
If the area of a trapezoid is 45 square units and the height is 5 units, find the length of the longer base if the shorter base is 6 units.

◂Math Worksheets and Study Guides Fifth Grade. Equivalent Fractions

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Equivalent Fractions

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The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.

Recognize and generate equivalent forms of commonly used fractions, decimals, and percents.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.