Question

your answer is incorrect.
find the area of the shape.
(sides meet at right angles.)
1 mm
2 mm
2 mm
2 mm
2 mm
3 mm
3 mm
5 mm
34 square millimeters

Explanation:

Step1: Calculate the area of the lower rectangle

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

Step2: Calculate the area of the upper rectangle

The upper rectangle has a length of \(1\) mm and a width of \(2 + 2=4\) mm (by adding the vertical segments on either side of the upper rectangle). Using the area formula \(A = length\times width\), we get \(A_2=1\times4=4\) square - mm.

Step3: Calculate the total area

The total area \(A\) of the shape is the sum of the areas of the two rectangles. So \(A=A_1 + A_2\). Substituting the values of \(A_1\) and \(A_2\), we have \(A = 15+4=19\) square - mm.

Answer:

\(19\) square millimeters