Question

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

Explanation:

Step1: Calculate the area of the large rectangle

The length of the large rectangle is $3 + 8=11$ and the width is $4 + 6 = 10$. The area formula for a rectangle is $A = l\times w$. So the area of the large rectangle $A_1=(3 + 8)\times(4+6)=11\times10 = 110$.

Step2: Calculate the area of the small rectangle

The length of the small rectangle is 8 and the width is 6. Using the area formula $A = l\times w$, the area of the small rectangle $A_2=8\times6=48$.

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 $A=A_1 - A_2=110-48 = 62$.

Answer:

62