Question

the figure below shows a large rectangle with a small rectangle cut out of it. what is the area of the shaded figure?

Explanation:

Step1: Calculate the area of the large rectangle

The area formula for a rectangle is \(A = length\times width\). For the large rectangle, \(length = 8\space cm\) and \(width=7\space cm\). So, \(A_{large}=8\times7 = 56\space cm^{2}\)

Step2: Calculate the area of the small rectangle

For the small rectangle, \(length = 3\space cm\) and \(width = 2\space cm\). Using the formula \(A = length\times width\), we get \(A_{small}=3\times2=6\space cm^{2}\)

Step3: Calculate the area of the shaded region

The area of the shaded region \(A_{shaded}=A_{large}-A_{small}\). Substitute the values: \(A_{shaded}=56 - 6=50\space cm^{2}\)

Answer:

\(50\space cm^{2}\)