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PERIMETER CHAPTER – 10
Calculate perimeter Q.1 : Define perimeter of a closed figure. The length of the boundary of a closed figure is known as its perimeter.
Calculate perimeter Calculate the Perimeter
Calculate perimeter 1 cm To find the perimeterof a shape we add together the length of all the sides. What is the perimeter of this shape? Starting point Perimeter = 3 + 3 + 2 + 1 + 1 + 2 3 = 12 cm 2 3 1 1 2
Calculate perimeter To calculate the perimeter of a rectangle we can use a formula. length, l breadth, b Using l for length and b for breadth, Perimeter of a rectangle = l + b + l + b = 2l + 2b or = 2(l + b)
Calculate perimeter A boy runs around a rectangular field of length 40m and breadth 25m. How much distance will he run if he takes 4 rounds of that field. (a) 4000m (b) 260m (c) 520m (d) 400m
Calculate perimeter 9 cm 5 cm 12 cm 4 cm Sometimes we are not given the lengths of all the sides. We have to work them out using the information we are given. What is the perimeter of this shape? The lengths of two of the sides are not given so we have to work them out before we can find the perimeter. a cm Let’s call the lengths a and b. b cm
Calculate perimeter Sometime we are not given the lengths of all the sides. We have to work them out from the information we are given. 9 cm a = 12 – 5 cm = 7 cm 5 cm 9 – 4 cm b = 12 cm 4 cm = 5 cm a cm 7 cm P = 9 + 5 + 4 + 7 + 5 + 12 = 42 cm b cm 5 cm
Calculate perimeter Calculate the lengths of the missing sides to find the perimeter. 5 cm p = 2 cm p 2 cm q = r = 1.5 cm q r s = 6 cm t = 2 cm s 6 cm u = 10 cm P = 5 + 2 + 1.5 + 6 + 4 + 2 + 10 + 2 + 4 + 6 + 1.5 + 2 4 cm 4 cm 2 cm 2 cm t u = 46 cm
Calculate perimeter What is the perimeter of this shape? Remember, the dashes indicate the sides that are the same length. 5 cm 4 cm P = 5 + 4 + 4 + 5 + 4 + 4 = 26 cm
Calculate perimeter What is the perimeter of this shape? Start by finding the lengths of all the sides. 4.5 m 4.5 m Perimeter = 4.5 + 2 + 1 + 2 + 1 + 2 + 4.5 5 m 4 m = 17 m 2 m 2 m 1 m 1 m 2 m
Calculate perimeter What is the perimeter of this shape? Before we can find the perimeter we must convert all the lengths to the same units. 256 cm In this example, we can either use metres or centimetres. 300 cm 3 m 1.9 m 190 cm Using centimetres, P = 256 + 190 + 240 + 300 2.4 m 240 cm = 986 cm
Calculate perimeter What is the perimeter of this shape? Before we can find the perimeter we must convert all the lengths to the same units. 256 cm In this example, we can either use metres or centimetres. 300 cm 3 m 1.9 m 190 cm Using centimetres, P = 256 + 190 + 240 + 300 2.4 m 240 cm = 986 cm
Calculate perimeter The length and the breadth of a rectangular field are in the ratio 5 : 3. If its perimeter is 128 m, find the dimensions of the field. Solution: Perimeter of field = 128 m Perimeter of a rectangle = 2 × (Length + Breadth) Length + Breadth = Perimeter/2 Length + Breadth = 128/2 = 64 m Ratio in length and breadth = 5:3 Let length (l) = 5x, then breadth = 3x 5x + 3x = 64 => 8x = 64 => x = 64/8 = 8 Length of the field = 5x = 5 × 8 = 40m and breadth = 3x = 3 × 8 = 24m
Calculate perimeter Find cost of fencing a rectangular field 62 m long and 33 m wide at Rs. 16 per metre. Solution: Length of rectangular field (l) = 62 m & breadth (b) = 33m
Calculate perimeter Find the perimeter of a square, each of whose sides measures: 2 m 5 dm Solution: Perimeter of square = 4 × (Length of one side) Side of a square = 2 m 5 dm = 2.5 m Perimeter = 4 × side = 4 × 2.5 m = 10 m
Calculate perimeter Find the side of the square whose perimeter is 16 m Solution: Perimeter of square = 4 × (Length of one side) Side of a square = Perimeter/4 Perimeter = 16 m Side of this square = 16/4 = 4 m