Question

what is the area of this figure? square centimeters

Explanation:

Step1: Calculate the area of the lower rectangle

The lower rectangle has length \(5\) cm and height \(7\) cm.
The area of a rectangle is \(A = length\times height\), so \(A_1=5\times7 = 35\) \(cm^{2}\)

Step2: Calculate the area of the upper rectangle

The upper rectangle has length \(3\) cm and height \(10 - 7=3\) cm.
The area of a rectangle is \(A = length\times height\), so \(A_2 = 3\times3=9\) \(cm^{2}\)

Step3: Calculate the total area

The total area \(A=A_1 + A_2\)
\(A=35 + 9=44\) \(cm^{2}\)

Answer:

\(44\)