Measurement Review AREA and PERIMETER Rectangles, Triangles, Circles Perimeter The perimeter of a shape is the distance around the outside. Rectangles 15 m Length 5m Width 5m 15 m Perimeter = 15 m + 5 m + 15 m + 5 m = 40 m Remember: The perimeter of a shape is a measure of distance around the outside. Units of distance mm AREA 1 cm 1 cm 1 cm 1 cm2 Area is measured in units2 6 cm cm The area of a shape is a measure of the surface/space contained within its perimeter. Units of area mm2 cm2 m m2 km km2 inches 3 cm 18 cm2 inches2 feet feet2 yards yards2 miles miles2 Area = 6 cm x 3 cm = 18 cm2 Find the perimeter and area of each rectangular shape below. 1 100 m 2 50 m 300 m, 5000m2 3 90 feet 280 ft 40 m 4500 ft2 4 120 m 320 m, 4800m2 Not to scale. 50 feet 5 600 cm, 18900cm2 8½ cm 5½ cm 90 cm 28 cm 210 cm 46.75cm2 Perimeter of Compound Shapes 4m Diagrams Not to scale ?1m ? 3m 4m 3m 4m ? Perimeter = 4m+ 4m+ 3m 7m+ 3m + 3m + Area = 4 x 4 + 3 x 3 = 16 + 9 = 25 m2 1m + = 22m Area of a Triangle The area of a triangle = ½ the area of the surrounding rectangle/parallelogram height base rectangle area = 2 + 2 triangle area = ½ rectangle area Area of a triangle = ½ base x height Find the area of the following triangles. Area = ½ b x h 12 cm 9 cm 16 cm 8 cm 10 cm Area = ½ x 8 x 9 = 60 cm2 = 36 cm2 4.5 m Area = ½ x 10 x 12 14 cm Area = ½ x 14 x 16 = 112 cm2 Area = ½ x 3.2 x 4.5 = 7.2 m2 3.2 m Area = ½ x 7 x 5 = 17.5 mm2 The Circumference of a Circle Find the circumference of the following circles. 1 2 8 cm 9.5 cm C = d C= x 8 C = 25.1 cm (1 dp) C = d C= x 9.5 C = 29.8 cm (1 dp) C = d C = 2r The Circumference of a Circle C = d Find the circumference of the following circles. C = 2r 4 3 3 mm 2.1 m C = 2r C = 2r C=2xx3 C = 2 x x 2.1 C = 18.8 mm (1 dp) C = 13.2 m (1 dp) The Area of a Circle A = r2 Find the area of the following circles. 1 2 8 cm 9.5 cm A = r2 A = x 82 A = 201.1 cm2 (1 dp) A = r2 A = x 9.52 A = 283.5 cm2 (1 dp) The Area of a Circle Find the area of the following circles. 3 4 6 mm 2.4 m A = r2 A = x 32 A = 28.3 mm2 (1 dp) A = r2 A = x 1.22 A = 4.5 m2 (1 dp) A = r2
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