5. Solve each of the following word problems. a) The length of a rectangle exceeds the width by 14 cm. The perimeter is 160 cm. Determine the dimensions of the rectangle. b) If each side of a square is increased by 4 metres, the area would be increased by 64 square metres. Calculate the side of the original square. c) A student had test scores of 64, 70, 78, 82 and three identical scores. If the average score is 75, what are the identical scores? d) The investment P needed to accumulate to S dollars in periods at a compounded interest rate of per period is PS(1 + i)" Determine the annual interest rate so that $1000 invested for ten periods (years) grows to a value of $2500.