Question

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

Explanation:

Step1: Divide the figure into two rectangles

The figure can be divided into two rectangles. One rectangle has dimensions \(5\times(2 + 5)\) and the other has dimensions \(3\times5\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is given by \(A = l\times w\). For the first rectangle with \(l = 5\) and \(w=(2 + 5)=7\), the area \(A_1=5\times7 = 35\space cm^{2}\).

Step3: Calculate the area of the second rectangle

For the second rectangle with \(l = 3\) and \(w = 5\), the area \(A_2=3\times5=15\space cm^{2}\).

Step4: Sum the areas of the two rectangles

The total area \(A=A_1 + A_2\). So \(A = 35+15=50\space cm^{2}\).

Answer:

\(50\space cm^{2}\)