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 $7 + 5=12$ and the width is $2 + 4 = 6$. The area formula for a rectangle is $A = l\times w$. So the area of the large rectangle $A_{1}=(7 + 5)\times(2+4)=12\times6 = 72$.

Step2: Calculate the area of the small rectangle

The length of the small rectangle is $5$ and the width is $4$. Using the area formula $A = l\times w$, the area of the small rectangle $A_{2}=5\times4 = 20$.

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 $A=A_{1}-A_{2}=72 - 20=52$.

Answer:

52