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7th Merit Problem Solving #79 The formula for determining the area of a parallelogram is A bh where A=area, b=base and h=height. 1) If the base of a parallelogram is 7 cm and the height is 8.9 cm, determine the area. 2) If the area of a parallelogram is 84 ft 2 and the base is 8 ft, determine the height. 7th Merit Problem Solving #80 Determine the area of the following trapezoid: 65 cm 35 cm 40 cm 7th Merit Problem Solving #81 1) Determine the total number of possible outcomes if you spin each spinner once. Red Blue 1 2 G 3 4 F H A B C E D 2) A menu has 5 appetizers, 8 main dishes, and 4 desserts. How many different meals can you make if you choose one from each category? 7th Merit Problem Solving #82 Rolling a pair of dice: Sum 2 3 4 Frequency 1 2 5 5 8 6 6 7 8 10 4 9 3 10 11 12 4 0 1 Using the data collected in the table above, determine: (record as a fraction, decimal, and percent) 1) p(rolling a sum of 8) 2) p(rolling a sum of 3) 3) p(rolling a sum of 4, 5, or 6) 7th Merit Problem Solving #83 You spin a spinner with 8 equal sections labeled A-H, then roll a number cube. Determine: 1) p(A,3) 2) p(C,odd) 3) p(vowel, factor of 10) 7th Merit Problem Solving #84 1) If a car travels 496 miles in 6 hours, what is the rate in miles per hour? 2) If 12 gallons of gas cost $28.68, what would be the cost per gallon? 7th Merit Problem Solving #85 Write each ratio below as a simplified fraction: 1) 10 girls to 18 boys 2) 8 inches to 2 feet Find the unit rate; 3) 44 miles for 3 gallons 4) $13.50 for 5.4 lbs ________miles per gallon $_______ per lb 7th Merit Problem Solving #86 Solve each problem- label your steps! 1) A car is 16 feet long and 6 feet wide. If the model of the car is 10 inches long, what will the width be? 2) A picture of a flag in a book is 3 inches tall and 5 inches wide. If the actual flag is 11 feet tall, how wide is it? 7th Merit Problem Solving #87 Write each ratio as a fraction in simplest form: 1) 22 yds to 50 ft 2) 6:24 3) The number of arrows to the number of hearts in the diagram below. 4) The number of arrows to the number of triangles in the diagram above. 7th Merit Problem Solving #88 Find the unit rate for each company. Round to the nearest cent. Which is the better buy? Justify your choice. Starbucks 20 oz for $4.35 Panera 12 oz for $3.35 7th Merit Problem Solving #89 Usain Bolt ran the 100 meters (328 feet) at the 2008 Olympics in 9.69 seconds. How far is his “league” (how far can he run in an hour?)