Question

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

Explanation:

Step1: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = length\times width\). The length of the large rectangle is \(13\) cm and the width is \(6\) cm. So the area \(A_{1}=13\times6 = 78\) \(cm^{2}\).

Step2: Calculate the area of the missing rectangle

The length of the missing rectangle is \(5\) cm and the width is \(3\) cm. Using the area formula \(A = length\times width\), we get \(A_{2}=5\times3=15\) \(cm^{2}\).

Step3: Calculate the final area

Subtract the area of the missing rectangle from the area of the large rectangle. \(A = A_{1}-A_{2}\).

Answer:

\(78 - 15=63\) \(cm^{2}\)