Question

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

answer attempt 1 out of 2
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Explanation:

Step1: Calculate the area of the large rectangle

The length of the large rectangle is \(3 + 8=11\) and the width is \(3 + 9 = 12\). Using the formula for the area of a rectangle \(A = l\times w\), we have \(A_{large}=11\times12\).

$$A_{large}=132$$

Step2: Calculate the area of the white rectangle

The length of the white rectangle is \(8\) and the width is \(9\). Using the formula \(A = l\times w\), we have \(A_{white}=8\times9\).

$$A_{white}=72$$

Step3: Calculate the area of the shaded region

The area of the shaded region \(A_{shaded}=A_{large}-A_{white}\).

$$A_{shaded}=132 - 72$$

$$A_{shaded}=60$$

Answer:

\(60\)