1-5 Geometric Formulas Polygons

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Presentation transcript:

1-5 Geometric Formulas Polygons The base and height of a triangle always make a right angle.

Examples Find area and perimeter. P = 6 + x + 4 + 5x P = 6x + 10 A = ½ bh A = ½ (6)(x+4) A = ½ (6x+24) A = 3x + 12

Examples Given a triangle with A=120 and h = 12, what is the length of the base? The area of a square is 49 m2. What is the perimeter? A = ½ bh 120 = ½ b(12) 240 = 12b 20 = b A = w2 49 = w2 7 = w P = 4w P = 4(7) = 28

Example What is the area and perimeter of the following figure? 4 P = 3+3+4+3+2+3+9+3 P = 30 A = 3(4) + 3(9) A = 12 + 27 A = 39 3 3 3 2 3 3 9

Example The length of a rectangle is 4 more than its width. If the perimeter of the rectangle is 44 inches, what is the area? P = 4w + 8 44 = 4w + 8 36 = 4w 9 = w l = 4 + w l = 4 + 9 l = 13 A = lw A = 13(9) A = 117 L = 4 + w w w L = 4 + w