Question

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

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions \(5\times3\) and the other has dimensions \(1\times(2 + 2)\).

Step2: Calculate area of first rectangle

The area formula for a rectangle is \(A = l\times w\). For the rectangle with length \(l = 5\) mm and width \(w=3\) mm, \(A_1=5\times3 = 15\) \(mm^2\).

Step3: Calculate area of second rectangle

For the rectangle with length \(l = 1\) mm and width \(w=(2 + 2)=4\) mm, \(A_2=1\times4 = 4\) \(mm^2\).

Step4: Calculate total area

The total area \(A\) of the shape is the sum of the areas of the two rectangles, \(A=A_1 + A_2=15+4=19\) \(mm^2\).

Answer:

19