Question

what is the area of the shaded region? 11 mm 12 mm 23 mm 37 mm square millimeters

Explanation:

Step1: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the large rectangle with length \(37\) mm and width \(23\) mm, the area \(A_{1}=37\times23 = 851\) square millimeters.

Step2: Calculate the area of the small rectangle

For the small rectangle with length \(12\) mm and width \(11\) mm, using the area formula \(A = length\times width\), the area \(A_{2}=12\times11=132\) square millimeters.

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{1}-A_{2}\). Substitute \(A_{1}=851\) and \(A_{2} = 132\) into the formula: \(A=851 - 132=719\) square millimeters.

Answer:

\(719\)