The irregular shape below has one straight side divided into 4 equal parts, that is 4 m apart. The ordinates dividing the parts are: 4 m; 4,5 m; 4,7 m; 4,9 m; 3,6 m. Calculate the area with the mid-ordinate rule.

Here's how to calculate the area using the mid-ordinate rule: The mid-ordinate rule for calculating the area of an irregular shape is given by the formula: A = w M_i where A is the area, w is the common width of each strip, and M_i is the sum of the mid-ordinates. Step 1: Identify the width of each strip (w) and the mid-ordinates (M_i). The problem states the shape is divided into 4 equal parts, and the distance between these parts (the width of each strip) is 4 m. So, w = 4 m. From the diagram, the heights labeled within each of the 4 strips are the mid-ordinates: M_1 = 4 m M_2 = 4.5 m M_3 = 4.7 m M_4 = 4.9 m (The value 3.6 m mentioned in the text as one of the "ordinates dividing the parts" is not used as a mid-ordinate, as there are only 4 strips and the diagram clearly shows 4 mid-ordinates.) Step 2: Sum the mid-ordinates. M_i = M_1 + M_2 + M_3 + M_4 M_i = 4 m + 4.5 m + 4.7 m + 4.9 m M_i = 18.1 m Step 3: Apply the mid-ordinate rule formula to calculate the area. A = w × M_i A = 4 m × 18.1 m A = 72.4 m^2 The area of the irregular shape is 72.4 m^2. Drop the next question.