Question

given the two rectangles below. find the area of the shaded region.
3 7
2
3
answer attempt 1 out of 2
units² submit answer

Explanation:

Step1: Calculate the area of the large rectangle

The length of the large rectangle is \(3 + 7=10\) and the width is \(2 + 3 = 5\). Using the formula \(A=\text{length}\times\text{width}\), we have \(A_{total}=(3 + 7)\times(2+3)=10\times5 = 50\).

Step2: Calculate the area of the un - shaded rectangle

The length of the un - shaded rectangle is \(7\) and the width is \(2\). Using the formula \(A=\text{length}\times\text{width}\), we have \(A_{un - shaded}=7\times2=14\).

Step3: Calculate the area of the shaded region

Subtract the area of the un - shaded region from the area of the total region. \(A_{shaded}=A_{total}-A_{un - shaded}\). So \(A_{shaded}=50 - 14=36\).

Answer:

\(36\)