Question

given the two rectangles below. find the area of the shaded region.

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length $l = 10 + 2=12$ and width $w=8 + 2 = 10$. The area of a rectangle is $A = l\times w$. So, $A_{1}=(10 + 2)\times(8 + 2)=12\times10 = 120$.

Step2: Calculate area of small rectangle

The small rectangle has length $l = 10$ and width $w = 8$. So, $A_{2}=10\times8=80$.

Step3: Calculate area of shaded region

The area of the shaded region $A_s$ is the difference between the area of the large rectangle and the area of the small rectangle. So, $A_s=A_{1}-A_{2}=120 - 80=40$.

Answer:

40