UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM

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Presentation transcript:

UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM TRIANGLE TRAPEZOID CIRCLES COMPLEX SHAPES

PERIMETER ADD ALL SIDES 8 cm 4 cm 8cm + 4cm + 8cm + 4cm = 24 cm

AREA - SQUARE BASE x HEIGHT (length x width) 6 cm 6cm x 6cm = 36 𝑐𝑚 2

AREA - RECTANGLE BASE x HEIGHT (length x width) 2 m 10 m 2m x 10m = 20 𝑚 2

AREA - PARALLELOGRAM BASE x HEIGHT 5 mm 3.5 mm 4 mm 3.5 mm x 5 mm = 17.5 𝑚𝑚 2 HEIGHT SIDE LENGTH BASE

AREA - TRIANGLE BASE x HEIGHT 2 S = 5 cm H = 4 cm H = 5 cm B = 6 cm B = 5 cm Area = Area = 12 𝑐𝑚 2 12.5𝑐𝑚 2 s h h b b

AREA - TRAPEZOID (BASE 1 + BASE 2) x HEIGHT 2 5 cm 3 cm = 8 cm (5 cm + 8 cm) x 3 ÷ 2 = 13 x 3 ÷ 2 = 19.5𝑐𝑚 2

AREA - CIRCLES AREA = 𝜋 x 𝑟 2 PERIMETER (CIRCUMFERENCE) = 𝜋 x 2r = 𝜋 x d 4 cm A = 3.14 x 4 2 = 3.14 x 16 = 50.24 𝑐𝑚 2 P = 3.14 x 8 = 25.12 cm

AREA – COMPLEX SHAPES Divide the complex shape into a known shape. Find the area for each part. Add all the parts A B C D

AREA – COMPLEX SHAPES AREA = 4.5m 1.5m 2m A B C D

AREA – COMPLEX SHAPES AREA = A + B + C + D AREA A = (TRIANGLE) B x H ÷ 2 AREA B = (TRAPEZOID) (B1 + B2) x H ÷ 2 AREA C = (RECTANGLE) B x H AREA D = (SQUARE) B x H

AREA – COMPLEX SHAPES TOTAL AREA = A + B + C + D AREA A = 4.5 x 2 ÷ 2 = 4.5 𝑚 2 AREA B = (1.5 + 2) x 2 ÷ 2 = 3.5 𝑚 2 AREA C = 4.5 x 2 = 9 𝑚 2 AREA D = 2 x 2 = 4 𝑚 2 TOTAL AREA = 4.5 + 3.5 + 9 + 4 = 21 𝑚 2