Question

square meters

Explanation:

Step1: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the larger part of the figure (excluding the small protrusion), the length is \(6\)m and the width is \(2\)m. So the area \(A_1=6\times2 = 12\) square meters.

Step2: Calculate the area of the smaller rectangle

The smaller rectangle has a length of \(3\)m and a width of \(1\)m. Using the area formula \(A = l\times w\), we get \(A_2 = 3\times1=3\) square meters.

Step3: Calculate the total area

The total area \(A\) of the composite figure is the sum of the areas of the two rectangles. So \(A=A_1 + A_2\). Substituting the values from Step 1 and Step 2, we have \(A=12 + 3=15\) square meters.

Answer:

\(15\)