Area of Special Quadrilaterals

Area of Special Quadrilaterals

How can you find the area of quadrilaterals that are not parallelograms?

How Can You Find the Area of a Trapezoid?

A trapezoid is a quadrilateral that has only one pair of opposite sides that are parallel.

Step One - Divide the Trapezoid into Parts

-Find the length of any missing base or height.
-The base of the 2nd triangle is 2ft because 14ft - 12ft = 2ft

Step Two - Find the area of each part

1. Triangle 1 (B = 4, H = 7): 4ft x 7ft divided by 2.  $28\div2=14$  feet

2. Triangle 2 (B = 2, H = 7): 2ft x 7ft divided by 2.  $14\div2=7$  feet

3. Rectangle (B = 12, H = 7): 12ft x 7ft = 84ft.

Step Three - Add the areas of the triangles and rectangle. 

Triangle 1: 14 feet

Triangle 2: 7 feet
Rectangle: 84 feet

14 + 7 + 84 = 105 sq ft

Multiple Choice

What is the area of this trapezoid?

• 60 sq. in.

• 24 sq in.

• 30 sq in.

• 18 sq in.

Multiple Choice

What is the area of this kite?

• 456 sq meters

• 360 sq meters

• 240 sq meters

• 96 sq meters

Multiple Choice

What is the area of this trapezoid?

• 40 sq in.

• 50 sq in.

• 30 sq in.

• 80 sq in.

Multiple Choice

What is the area of this kite?

• 112 sq. meters

• 66 sq. meters

• 56 sq. meters

• 96 sq. meters

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