Area of Parallelograms, Triangles and Trapezoids

5 in 4 in What is the area of the parallelogram? Area = base times height Area = b h A = 5 in 4 in A = 20in 2

The area of a triangle is ½ the area of a parallelogram. Area = ½ base x height A = ½ bh height base Triangles

Find the Area of the Triangle 10m 6.5m A = ½ bh A = ½ (6.5m) x (10m) A = ½ (65m) A = 32.5 m² To take half – you can divide by 2 or multiply by 0.5

11ft 14ft A = ½ bh A = ½ (14ft) x (11ft) A = ½ (154ft) A = 77 ft² Find the Area of the Triangle

9.6mm 8mm A = ½ bh A = ½ (8mm) x (9.6mm) A = ½ (76.8mm) A = 38.4 mm² Find the Area of the Triangle

Trapezoids A trapezoid has two bases, b and b. The height (h) of a trapezoid is the distance between the bases. A = ½ h( b + b ) 12 b 1 b 2 h 12

Find the Area of the Trapezoid 5 in 12 in 7 in A = ½ h( b + b ) A = ½ (7in)(5in +12in) A = ½ (7in)(17in) A = ½ (119in) A = 59.5 in² 12

7 ft 15.6 ft 8 ft A = ½ h(b + b ) A = ½ (8ft)(7ft +15.6ft) A = ½ (8ft)(22.6ft) A = ½ (180.8ft) A = 90.4 ft² 12 Find the Area of the Trapezoid