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* width`

`A_a=5* 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.