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3). the field inside a 400m running track is to be seeded. each straight portion

ID: 3122055 • Letter: 3

Question

3). the field inside a 400m running track is to be seeded. each straight portion of the track is 100 m. Each curved part of the track is a semi circle. One 1.5 kg bag of grass seed will seed an area of 80 m^2

4). A dog is tied to a 2-m leash at groud level on the side of a building. The leash is attached 1 m from the corner of the building

3. The field inside a 400 m running track is to be seeded. Each straight portion of the track is 100 m. Each curved part of the track is a semicircle. One 1.5 kg bag of grass will seed an area of 80 m seed a) What is the length of each curved part of the track? b) Calculate the width of the field. c) Calculate the area of the field. d) Determine the number of bags of seed required. e) one 1.5 kg bag of grass seed costs s12.64. How much does it cost to seed the field? 4. A dog is tied to a 2-m leash at ground level on the side of a building. The leash is attached 1 m from the corner of the building. a) sketch the region within the dog's reach and label dimensions. b) Determine the area of this region, to the nearest Square metre.

Explanation / Answer

3. The two straight portions are 100m each. So the arcs of each of the two semicirles is 100m each as well. Let d be the diameter of the semicircular portion. Note, this is also the breadth of the field.

=> d = 100

=> d = 100/ m

=> r = 50/ m

Area of the field = 2 * Area of a semicircular portion + Area of the rectangular portion that remains

=> Area = 2 * * 50/ * 50/ + 100 * 100

= 5000/ + 10000 = 26708 sq m.

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