Question

what is the area of this figure? square kilometers

Explanation:

Step1: Calculate the area of the lower rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the lower rectangle, the length is \(6\) km and the width is \(8\) km. So the area \(A_1=6\times8 = 48\) square kilometers.

Step2: Calculate the area of the upper rectangle

The upper rectangle has a length of \(2\) km. The height of the upper rectangle is \(11 - 8=3\) km. Using the area formula \(A = length\times width\), the area \(A_2 = 2\times3=6\) square kilometers.

Step3: Calculate the total area

The total area \(A\) of the figure is the sum of the areas of the two rectangles. So \(A=A_1 + A_2\). Substitute \(A_1 = 48\) and \(A_2=6\) into the formula: \(A=48 + 6=54\) square kilometers.

Answer:

\(54\)