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AW Math 10 Spring Break Review Package (II) Name:_________________ 1) Jamilla installs underground wire for invisible fences for pets. The wire is sold by the foot. How many feet of wire will she need for the perimeter of this lot? 2) Jeff designs jewellery. He has 6 the base 1 1 in. of gold wire for a triangular pendant. If he makes 2 3 in. and uses all the gold wire to go around the pendant, 4 how long will the other two sides be? 3) A real estate agent is helping a Winnipeg family buy a house in Seattle. The family wonders if they can use a wallpaper border they bought for their old kitchen in the new kitchen. The floor plans of both kitchens are rectangular. a) What is the perimeter of each kitchen in metres? Winnipeg kitchen: 5.0 m long and 2.7 m wide P = 2 (length + width) Seattle kitchen: 20 ft long and 10 ft wide b) How much extra border will they need for the new kitchen? 4) Jeff is a contractor. How many metres of baseboard will he need for the perimeter of this room? All corners are right angles. 5) Shane is building a curb around a circular fountain. The diameter of the fountain is 3.8 m. What is its circumference? 6) Lila sells tires. A customer told her the circumference of the wheel rim on his tires, but Lila needs the diameter to get the tire size. If the circumference is 47 in., what is the diameter? 7) Maria is wondering if this running track is longer or shorter than 1 km. Each end is a semicircle. a) What is the total length of the curved parts of the track? b) What is the total length of the track? 8) A cylinder-shaped grain bin has a circular base with a diameter of 44 ft. a) What is the circumference of the bin in feet? b) What is the circumference of the bin in yards? c) What is the circumference of the bin in metres? 9) Calculate each area. If necessary, round to one decimal place. 10) What is the area of each circle, rounded to one decimal place? 11) Dylan has a field in the shape of a trapezoid. He needs to know its area in square metres before he buys fertilizer. a) Label the dimensions of the field in metres. b) What is the area of the field in square metres? c) Each truckload of fertilizer costs $52.14 and covers 10 000 m2. How much will it cost to cover the field? 12) Meredith built a rectangular display case for her collector plates. How much of the case is visible behind the plates? 13) What is the area of this regular pentagon in square inches? 14) A helicopter landing pad, on top of a tall office building, has the shape of a regular octagon. How big is this landing area? 15) Liam is a window installer. A Norman window has this shape. What is the area of the window? 16) Marlene charges $2.15 per square metre to install sod. How much should she estimate for sodding the interior of this athletic track? AW Math 10 Spring Break Review Package (II) Name:_________________ 1) Jamilla installs underground wire for invisible fences for pets. The wire is sold by the foot. How many feet of wire will she need for the perimeter of this lot? P = 16 yd + 20 yd + 2x 37 ft = 36 yd and 74 ft = 182 ft. 2) Jeff designs jewellery. He has 6 the base 1 1 in. of gold wire for a triangular pendant. If he makes 2 3 in. and uses all the gold wire to go around the pendant, 4 how long will the other two sides be? Side = (6 1 3 3 19 3 in – 1 in) ÷ 2 = 4 in ÷ 2 = in = 2 in 2 4 4 8 8 3) A real estate agent is helping a Winnipeg family buy a house in Seattle. The family wonders if they can use a wallpaper border they bought for their old kitchen in the new kitchen. The floor plans of both kitchens are rectangular. a) What is the perimeter of each kitchen in metres? Winnipeg kitchen: 5.0 m long and 2.7 m wide P = 2 (length + width) P = 2 (5.0 m + 2.7 m) = 15.4 m Seattle kitchen: 20 ft long and 10 ft wide P = 2 (20 ft + 10 ft) = 60 ft b) How much extra border will they need for the new kitchen? 4) Jeff is a contractor. How many metres of baseboard will he need for the perimeter of this room? All corners are right angles. 5) Shane is building a curb around a circular fountain. The diameter of the fountain is 3.8 m. What is its circumference? 6) Lila sells tires. A customer told her the circumference of the wheel rim on his tires, but Lila needs the diameter to get the tire size. If the circumference is 47 in., what is the diameter? 7) Maria is wondering if this running track is longer or shorter than 1 km. Each end is a semicircle. a) What is the total length of the curved parts of the track? b) What is the total length of the track? 8) A cylinder-shaped grain bin has a circular base with a diameter of 44 ft. a) What is the circumference of the bin in feet? b) What is the circumference of the bin in yards? c) What is the circumference of the bin in metres? 9) Calculate each area. If necessary, round to one decimal place. 10) What is the area of each circle, rounded to one decimal place? 11) Dylan has a field in the shape of a trapezoid. He needs to know its area in square metres before he buys fertilizer. a) Label the dimensions of the field in metres. b) What is the area of the field in square metres? c) Each truckload of fertilizer costs $52.14 and covers 10 000 m2. How much will it cost to cover the field? 12) Meredith built a rectangular display case for her collector plates. How much of the case is visible behind the plates? 13) What is the area of this regular pentagon in square inches? 14) A helicopter landing pad, on top of a tall office building, has the shape of a regular octagon. How big is this landing area? 15) Liam is a window installer. A Norman window has this shape. What is the area of the window? 16) Marlene charges $2.15 per square metre to install sod. How much should she estimate for sodding the interior of this athletic track?