Question

a rectangular region is removed from another rectangular region to create the shaded region shown below. find the area of the shaded region.

Explanation:

Step1: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the large rectangle, \(l = 19\) yd and \(w = 10\) yd. So, \(A_{large}=19\times10 = 190\) \(yd^{2}\).

Step2: Calculate the area of the small rectangle

For the small rectangle, \(l = 9\) yd and \(w = 8\) yd. Using the area formula \(A = l\times w\), we get \(A_{small}=9\times8=72\) \(yd^{2}\).

Step3: Calculate the area of the shaded region

The area of the shaded region \(A_{shaded}=A_{large}-A_{small}\). Substitute the values: \(A_{shaded}=190 - 72\).

Answer:

\(118\) \(yd^{2}\)