1. Areas of Trapezoids and Kites Objectives: 1) Find the area of trapezoids. 2) Find the area of rhombi and kites.

2. Trapezoids: leg b 1 = base 1 b 2 = base 2 h = height Height – distance between the 2 bases. * Must be  A = ½ h(b 1 + b 2 ) Area of trapezoid Height base

3. Ex. 1Find the area of the following trapezoid. 20in 18in 36in 30in A = ½ h(b 1 + b 2 ) = ½ (18in)(36in + 20in) = ½ (18in)(56in) = 504in 2 This is the height!!

4. Ex. 2 Find the area of following trapezoid. 60 5cm 7cm A = ½ h(b 1 + b 2 ) = ½ (3.5cm)(5cm + 7cm) = ½ (3.5cm)(12cm) = 20.8cm 2 Need to find h first! Short side = 2cm h = 2 √ 3 h = 3.5cm This is a 30-60-90 Δ h

5. Area of a Rhombus or a Kite Rhombus –4 equal sides. –Diagonals bisect each other. –Diagonals are . Kite –Adjacent sides are . –No sides //. –Diagonals are . A = ½ d 1 d 2 Area of Kites or Rhombi Diagonal OneDiagonal Two

6. Example 3: Find the Area of the following Kite. 3m 4m 5m A = ½ d 1 d 2 = ½ (6m)(9m) =27m 2

7. Example 4: Find the area of the following rhombus 12m b A = ½ d 1 d 2 = ½ (24m)(18m) = 216m 2 d 1 = 24m d 2 = 18m a 2 + b 2 = c 2 12 2 + b 2 = 15 2 144 + b 2 = 225 b 2 = 81 b = 9 15m

8. What have I learned?? Area of Trapezoid A = ½ h(b 1 + b 2 ) Area of Rhombus or Kite A = ½ d 1 d 2