The size of the largest square is 36m². To find for the measures of the squares, use the common factors of 42 and 60. Among the common factors, choose the greatest. Find the factors of 42 using the listing method. 42 - 1, 2, 3, 6, 7, 14, 21, 42 Find the factors of 60 using the listing method also. 60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 Identify the common factors of 42 and 60. 42 - 1, 2, 3, 6, 7, 14, 21, 42 60 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 Common Factors: 1, 2, 3, 6 Therefore, the size of the largest square is 36m² since 6m x 6m is equals to 36m².
Write the equation of the first train: x = 12t Write the equation of the second train: y = -20t+72, assuming the train one is at the origins when t = 0. Now solve the equation: 12t=-20t+72, 32t = 72, then t = 2.25 hours. The two train meet after 2.25 hours. Now the equation of the <span>pigeon is like this: x = 48t. </span>Then for t = 2.25, we get
<span>The Hyde has flown 108 km when the trains meet.</span>