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 $3 + 2=5$ and width $5 + 6 = 11$. Using the formula for the area of a rectangle $A = lw$, we have $A_{large}=(3 + 2)\times(5+6)=5\times11 = 55$.

Step2: Calculate area of small rectangle

The small rectangle has length $3$ and width $5$. Using the formula $A = lw$, we get $A_{small}=3\times5=15$.

Step3: Calculate area of shaded region

The area of the shaded region $A_{shaded}=A_{large}-A_{small}$. So $A_{shaded}=55 - 15=40$.

Answer:

40