Question

geometry, measurement, data analysis
area of a piece - wise rectangular figure
find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Calculate the area of the large rectangle

The large rectangle has length $l = 7$ cm and height $h=8$ cm. The area of a rectangle is $A = l\times h$. So, $A_{1}=7\times8 = 56$ $cm^{2}$.

Step2: Calculate the area of the small rectangle (the cut - out part)

The small rectangle has length $l = 3$ cm and height $h = 3$ cm. The area of a rectangle is $A = l\times h$. So, $A_{2}=3\times3=9$ $cm^{2}$.

Step3: Calculate the area of the figure

The area of the figure is the area of the large rectangle minus the area of the small rectangle. $A = A_{1}-A_{2}$. So, $A=56 - 9=47$ $cm^{2}$.

Answer:

$47$