Question

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

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the large rectangle with length \(l = 5\) mm and width \(w=3\) mm, \(A_1=5\times3 = 15\) square - millimeters.

Step2: Calculate the area of the small rectangle on the top

The small rectangle on the top has length \(l = 1\) mm and width \(w=(2 + 2)=4\) mm. Using the area formula \(A = l\times w\), \(A_2=1\times4=4\) square - millimeters.

Step3: Calculate the total area

The total area \(A\) of the shape is the sum of the areas of the two rectangles. So \(A=A_1 + A_2\). Substitute \(A_1 = 15\) and \(A_2 = 4\) into the formula: \(A=15 + 4=19\) square - millimeters.

Answer:

19