Introduction to area of a piecewise rectangular figure

Given:

The piecewise rectangular figure.

To find:

The area of the piecewise rectangular figure.

Solution:

Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.

Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:

Figure (b) is a square of edge 2 yd. So, the area of the square is:

The area of the given figure is:

Therefore, the area of the given figure is 19 square yd.

step-by-step explanation: