Question

what is the area of the shaded region? square millimeters

Explanation:

Step1: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the larger rectangle with length \(l = 36\) mm and width \(w = 25\) mm, the area \(A_{1}=36\times25 = 900\) \(mm^{2}\).

Step2: Calculate the area of the smaller rectangle

For the smaller rectangle with length \(l = 26\) mm and width \(w = 15\) mm, the area \(A_{2}=26\times15=390\) \(mm^{2}\).

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{1}-A_{2}\). Substitute the values of \(A_{1}\) and \(A_{2}\): \(A=900 - 390=510\) \(mm^{2}\).

Answer:

\(510\) square millimeters