Question

given the two rectangles below. find the area of the shaded region.
answer attempt 1 out of 5
units² submit answer

Explanation:

Step1: Calculate area of large rectangle

The large rectangle has length $5 + 5=10$ and width $6 + 3 = 9$. Using the formula for the area of a rectangle $A = l\times w$, we have $A_{1}=(5 + 5)\times(6+3)=10\times9 = 90$.

Step2: Calculate area of small rectangle

The small rectangle has length $5$ and width $3$. Using the formula for the area of a rectangle $A = l\times w$, we have $A_{2}=5\times3=15$.

Step3: Calculate area of shaded region

The area of the shaded region $A$ is the area of the large rectangle minus the area of the small rectangle. So $A=A_{1}-A_{2}=90 - 15=75$.

Answer:

75