Question

the area of this figure is square centimeters.

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 \(10\) cm and the width is \(3\) cm. So the area \(A_1=10\times3 = 30\) \(cm^{2}\).

Step2: Calculate the area of the upper rectangle

The height of the upper rectangle is \(7 - 3=4\) cm and the width is \(2\) cm. Using the area formula \(A = length\times width\), the area \(A_2=(7 - 3)\times2=4\times2 = 8\) \(cm^{2}\).

Step3: Calculate the total area

The total area \(A=A_1 + A_2\). Substitute \(A_1 = 30\) \(cm^{2}\) and \(A_2 = 8\) \(cm^{2}\) into the formula. So \(A=30+8=38\) \(cm^{2}\).

Answer:

\(38\)