Question

find the area of the shape. (sides meet at right angles.) 2 mm 3 mm 6 mm 1 mm 3 mm 3 mm square millimeters

Explanation:

Step1: Divide the shape into two rectangles

The shape can be divided into a rectangle with dimensions \(2\times6\) and another rectangle with dimensions \(1\times3\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is \(A = length\times width\). For the first rectangle with \(l = 6\) mm and \(w=2\) mm, \(A_1=2\times6 = 12\) square millimeters.

Step3: Calculate the area of the second rectangle

For the second rectangle with \(l = 3\) mm and \(w = 1\) mm, \(A_2=1\times3=3\) square millimeters.

Step4: Sum the areas of the two rectangles

\(A = A_1+A_2\). So \(A=12 + 3=15\) square millimeters.

Answer:

15