Question

find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 5\) mm and \(w = 3\) mm. So, \(A_1=5\times3 = 15\) square millimeters.

Step2: Calculate the area of the small rectangle on top

The small rectangle has a length of \(1\) mm and a width of \(2 + 2+1-(2 + 2)=1\) mm (by analyzing the vertical side lengths). Using the area formula \(A = l\times w\), with \(l = 1\) mm and \(w = 1\) mm, \(A_2 = 1\times1=1\) square millimeters.

Step3: Calculate the total area

The total area \(A=A_1 + A_2\). Substitute \(A_1 = 15\) and \(A_2=1\) into the equation. So, \(A=15 + 1=16\) square millimeters.

Answer:

\(16\)