Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Divide the figure into rectangles

The figure can be divided into three rectangles.

Step2: Calculate the area of each rectangle

• For the left - most rectangle with length \(4 + 4=8\) cm and width \(4\) cm, the area \(A_1=4\times8 = 32\) \(cm^{2}\).
• For the middle - upper rectangle with length \(4\) cm and width \(4\) cm, the area \(A_2 = 4\times4=16\) \(cm^{2}\).
• For the right - lower rectangle with length \(4\) cm and width \(3\) cm, the area \(A_3=4\times3 = 12\) \(cm^{2}\).

Step3: Sum up the areas of all rectangles

The total area \(A=A_1+A_2+A_3\).
Substitute the values: \(A = 32+16 + 12\).
\(A=60\) \(cm^{2}\).

Answer:

\(60\)