Question

find the area of the shaded region. all angles are right angles. the area of the shaded region is □ m². (simplify your answer.)

Explanation:

Step1: Calculate the area of the large rectangle

The large rectangle has length $24$m and width $8$m. The area formula for a rectangle is $A = l\times w$. So the area of the large rectangle $A_1=24\times8 = 192$ $m^{2}$.

Step2: Calculate the area of the small rectangle

The small rectangle has length $16$m and width $4$m. Using the area formula $A = l\times w$, the area of the small rectangle $A_2 = 16\times4=64$ $m^{2}$.

Step3: Calculate the area of the shaded region

The area of the shaded region $A$ is the area of the large rectangle minus the area of the small rectangle. So $A=A_1 - A_2=192-64 = 128$ $m^{2}$.

Answer:

$128$