 0-10 pts.) Describe how to find the areas of a square, rectangle, triangle, parallelogram, trapezoid, kite and rhombus. Give at least 3 examples of each.  Squares, rectangle, parallelograms are very simple to find the area you only need to multiply base times the height !

Ex Area= 48 Ex Area=128 Ex Area=3045

Ex (8x5)/2=20 Ex (3x10)/2=15 Ex (20x60)/2=600

 To find the area of a trapezoid take the sum of its bases then multiply the sum times the height, and then divide the result by half, (b1+b2)(height)/2 Ex (5+7)(3)/2=52.5

Ex.2 (5+10)(11)/2= (25+27)(18)/2=468

 To find the area of a kite you multiply the diagonals and then divide by half 10 7 Ex.1 7x10/2=37.5 Ex x5/2=10

136 Ex.3 6x13/2= 39

Ex Area =80 Ex x30=690 Ex x27=513

 IN a composite figure you have to find different types of shapes and then add them up, for example in an arrow you can divide it to a triangle and a square and you can easily find the area of both of those so you just add them to get your total area

Ex Triangle: 4x15/2=30 Square: 3x10=10 Total area: 40 Ex trapezoid: (10+8)(5)/2=45 5 Square: 10 Total area: 55

Ex Triangles: 25x40/2=500 each Square: 30x15=450 Total area: 1450

 Pi times the radius squared 3 Ex.1Ex Ex

 They are three dimensional figures for example pyramids, prisms and other three dimensional figures. To find the surface area you need to add up all of the surface areas Ex

 The surface area is just all of the faces of the prism added up. So a prism is a solid figure with two opposite faces similar, equal, and parallel their sides must also be parallelograms. The net is when you flatten out all of the faces of the figure. Ex.1

Ex.2 Ex.3

TO find the surface area you add the surface area of all of the parts of the cylinder. The bases of the cylinder are circles so you use pi r squared. Then to find the surface area of the side you multily the circumference times the height. Ex.1Ex.2 Ex

 First you need to find the lateral surface area, which is the side triangles. Then just add the base = Ex Ex = Ex.3 24

 To find the area is you multiply pi times the radius times a side. Then add pi times the radius squared which is the base circle. Ex Ex Ex

 This is simple just get a side and cube it (to the power of 3) 3 Ex.1 Ex Ex

 If two geometrical figures have the same height and width they have the same volume = = = Ex.1Ex.2 Ex.3

 prism = length × width × height Ex Ex Ex.3 64

Pi times the radius squared Ex Pi times 4 squared times Ex Ex

 You multiply the area of the base times height

 Pi times radius squared times height Ex Ex Ex

 Pi times the radius squared

 Cube the radius then multiply by 4 and then divide by 3