LESSON 3 10 PROBLEM SOLVING DRAWING DIAGRAMS EXAMPLE

LESSON 3 -10 PROBLEM SOLVING DRAWING DIAGRAMS

EXAMPLE 1 SOLVE: A rectangular rose bed is 30 ft longer than it is wide. What are its dimensions if its perimeter is 88 ft? Solution: A diagram for this problem can help you set up an equation.

Width = w Length = w + 30 (. . . “ 30 ft longer than it is wide”) The perimeter is 88 ft. The sum of the lengths of the sides (2 lengths and 2 widths) also represents the perimeter. Therefore: 88 = l + w + l + w 88 = (w + 30) + w + (w + 30) + w

Width = w Length = w + 30 (. . . “ 30 ft longer than it is wide”) Y F The perimeter is 88 ft. The sum of the lengths of the sides (2 lengths and 2 widths) also represents the perimeter. Therefore: 88 = l + w + l + w P I L 88 = (w + 30) + w + (w + 30) + w 88 = 4 w S M I L = w + 30 w w L = w + 30

Width = w Length = w + 30 (. . . “ 30 ft longer than it is wide”) The perimeter is 88 ft. The sum of the lengths of the sides (2 lengths and 2 widths) also represents the perimeter. Therefore: 88 = l + w + l + w 88 = (w + 30) + w + (w + 30) + w 88 = 4 w + 60 L = w + 30 w w L = w + 30

Width = w Length = w + 30 (. . . “ 30 ft longer than it is wide”) The perimeter is 88 ft. The sum of the lengths of the sides (2 lengths and 2 widths) also represents the perimeter. Therefore: 88 = l + w + l + w 88 = (w + 30) + w + (w + 30) + w -60 L = w + 30 88 = 4 w + 60 ÷ 4 28 = 4 w w w 7= w L = w + 30

Width = w Length = w + 30 (. . . “ 30 ft longer than it is wide”) The perimeter is 88 ft. The sum of the lengths of the sides (2 lengths and 2 widths) also represents the perimeter. Therefore: 88 = l + w + l + w 88 = (w + 30) + w + (w + 30) + w -60 37 88 = 4 w + 60 ÷ 4 28 = 4 w 7= w 2 7 + ___ 88 37 7

EXAMPLE 2 Harry and Juan bought a hang glider for $960. Harry paid one half as much as Juan. How much did each pay? Total $906 Juan X dollars Harry 1/2 x dollars There are two ways of writing the total length gives an equation. X = 2/ 2 X + 1/2 x = 960 dollars X = 640 3/ 2 X = 960 dollars X = 640

ASSIGNMENT: DO CLASSROOM EXERCISES 2&3 WRITTEN EXERCISES 1 -5