Question

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 $9$m and width $6$m. The area formula for a rectangle is $A = l\times w$. So the area of the large rectangle $A_1=9\times6 = 54$ $m^{2}$.

Step2: Calculate the area of the small rectangle to be subtracted

The small rectangle has length $3$m and width $4$m. Using the area formula for a rectangle $A = l\times w$, the area of the small rectangle $A_2 = 3\times4=12$ $m^{2}$.

Step3: Calculate the area of the figure

Subtract the area of the small rectangle from the area of the large rectangle. $A = A_1 - A_2=54 - 12=42$ $m^{2}$.

Answer:

$42$