2 PARALLELOGRAMWhat is the areaof this parallelogram?S=sideH=heightB=base
3 PARALLELOGRAM What is the area of this parallelogram? S=side H=height B=baseCUT HERE!
4 PARALLELOGRAM What is the area of this parallelogram? H=height B=base MOVE TO HERE!
5 the area of this rectangle! PARALLELOGRAMIt’s the same asthe area of this rectangle!H=heightB=base
6 Arearectangle= Base x Height PARALLELOGRAMArearectangle= Base x Height(perpendicular height H)H=heightB=base
7 Areaparallelogram = Base x Height (perpendicular height H)SideH=heightB=base
8 What is the area of this parallelogram? To find the area of a parallelogram, you always multiply the base and the height.Remember: The height is the line segment that is perpendicular to the base and creates a right angle.What is the area of this parallelogram?10 in12 inArea = base x heightA = (10)(10)A = 100 in²10 in
9 Examples A=bh A= 11(7) A=77 in² Find the area of the parallelogram.
10 Your Turn A=bh A= 12(24) A=288 cm² Find the area of the parallelogram.
11 A treadmill’s belt is in the shape of a parallelogram before the ends are joined to form a loop. The area of the belt is 2052 in². The belt’s width, which is the height of the parallelogram, is 18 inches. Find the length of the belt, which is the base of the parallelogram.
12 18 inbA=bh2052= b(18)b =114The length of the treadmill’s belt is 114 inches
13 TrianglesHeight and Base of a TriangleHEIGHTBASEHEIGHTBASEBASE
14 Area of a TriangleArea: A = 1 2 𝑏ℎArea = 1 2 ×𝑏𝑎𝑠𝑒×ℎ𝑒𝑖𝑔ℎ𝑡
15 Why is that the Area of a Triangle? Area of parallelogram = base x height12
16 Finding the Area of a Triangle Write the formula for area of a triangle.Substitute in values.Simplify.111 ft231 ft
17 Examples Find the Area of the triangle. A = ?, b = 9 ft, h = 6 ft 12 m
18 Finding the Base of a Triangle A triangle has a height of 10 centimeters and an area of 35 square centimeters. Find the base of the triangle.Write the formula for area of a triangle.Substitute in values.Simplify.Solve.
19 Practice: Blue Book Pg. 554: #7-13 all Pg. 561: #6-15 all