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## Trapezoids

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**Did you know that the word trapezoid comes from the Greek**“τραπέζιον” (or trapeza) meaning “table,” with the suffix –oid meaning “to resemble?” Hmmm… Trapezoids**Definition of trapezoid…**• Trapezoid: a quadrilateral consisting of exactlyonepair of parallel sides. OR a quadrilateral with two parallel sides of unequal length. • Using this definition, is a square also a trapezoid? A rectangle? A parallelogram?**Trapezoids:**b1 = base 1 h = height leg leg Height – distance between the 2 bases. * Must be b2 = base 2 base base Area of trapezoid A = ½ h(b1 + b2) Height**Ex. 1 Find the area of the following trapezoid.**20in This is the height!! 30in 18in 36in A = ½ h(b1 + b2) = ½ (18in)(36in + 20in) = ½ (18in)(56in) = 504in2**What happens if you are given the area, but are missing one**of the bases? = 4 in b1 4 in A = 22 in2 7 in**Find the height of the trapezoid.**35 m = 23 m h A = 1035 m2 55 m