Area of Trapezoids and Parallelograms We are learning to…find the area of parallelograms and trapezoids. Thursday, April 19, 2018

Trapezoids vs. Parallelograms Two sets of parallel sides One set of parallel sides 4 sided objects (quadrilaterals)

Area of Parallelograms Slant Length Height (distance between bases) Base (either parallel side) By cutting a parallelogram along the height the shape can become a… …Rectangle! Area = (Base)(Height)

Find the Area of these Parallelograms 7 cm 13 ft 5 cm 4 cm 9 ft 12 ft 20 ft Area = (base)(height) 35 ft Area = (4)(7) 10 ft Area = 28 square cm Area = (base)(height) Area = (12)(20) Area = (base)(height) Area = 240 square ft Area = (35)(9) Area = 315 square ft

We don’t need the whole parallelogram…we ONLY NEED: ½ Area of a Trapezoid: b1 + b2 Base 1 or b1 b2 Height Height Base 2 or b2 b1 b1 + b2 We don’t need the whole parallelogram…we ONLY NEED: ½ Take two of the same trapezoids and put them together to make a parallelogram…because we know how to find the area of a parallelogram. Formula: Area = (b1 + b2)(Height) Formula: Area = (½)(b1 + b2)(Height) Formula: Area = (Base)(Height)

Find the area of the trapezoid: When you are done with finding the area of the last trapezoid let your teacher know so they can check your work and give you’re the homework assignment 14 ft 4 ft 5 ft 6 ft Area = (½)(b1 + b2)(Height) Area = (½)(14 + 6)(4) Area = (½)(20)(4) Area = (10)(4) Area = 40 square feet