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y Tryouts cal high school is having tryouts for the cross country e having tryou

ID: 3209753 • Letter: Y

Question

y Tryouts cal high school is having tryouts for the cross country e having tryouts for the cross country team. The sh ack, so the runners run around the school's hah detmines that the width of the field is seventy meters country team. The school does not football field.T cour is seventy meters shorter than the length. Width Length ite your answers on another piece of paper. Show all of your work to Wr full credit. ive Part A Write an expression that represents the perimeter of the football field. Let represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses. What property or properties did you use to simplity? Explain. Part B The cross-country coach later determines that the length of the football field is 120 meters. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap? Part C Ismail is the manager of the football team, and he has been assigned the task of painting a mascot in the middle of the field. The painting fits neatly in the shape of a square with one side of the painting equal to five meters. The area of square is given by the formula A = s2, where s is the length of a side. What is the area of the painting in square meters?

Explanation / Answer

(A) Perimeter of rectangular field with length l and width w = 2(l+w)

Perimeter of rectangular field with length l and width w = 2l + 2w , we have used the distributive law of multiplication which is a(b+c) = ab + bc

(B) Actual distance = 5 * 120 = 600 meters = 600 * 1.09361 yards = 656.168 yards

Speed = distance / time = 600 meters / 6 minutes = 100 metres / minute = 100 meters / 60 seconds = 1.67 meters/ second

(C) Area = s2 = (5 meter) 2 = 25 square meters