Question

1. what is the area?

Explanation:

Step1: Calculate the area of the upper rectangle

The upper rectangle has a length of \(9\) cm and a width of \(5\) cm. Using the formula for the area of a rectangle \(A = length\times width\), we get \(A_1=9\times5 = 45\space cm^{2}\).

Step2: Calculate the area of the lower rectangle

The lower rectangle has a length of \(5\) cm and a width of \(4\) cm. Using the formula \(A = length\times width\), we get \(A_2 = 5\times4=20\space cm^{2}\).

Step3: Calculate the total area

The total area \(A\) of the composite figure is the sum of the areas of the two rectangles. So \(A=A_1 + A_2\). Substituting the values of \(A_1\) and \(A_2\), we have \(A = 45+20=65\space cm^{2}\).

Answer:

\(65\space cm^{2}\)