Question

Introduction to area of a piecewise rectangular figure

Answer 1

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:

$Area=length\times width$

$A_a=5\times 3$

$A_a=15$

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

$Area=(edge)^2$

$A_b=(2)^2$

$A_b=4$

The area of the given figure is:

$A=A_a+A_b$

$A=15+4$

$A=19$

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