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 2m (width) and 6m (height), and the other has dimensions (3 + 3)m = 6m (width) and 1m (height).

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 6m$ and $w = 2m$, the area $A_1=6\times2 = 12$ square - meters.

Step3: Calculate area of second rectangle

For the second rectangle with $l = 6m$ and $w = 1m$, the area $A_2=6\times1 = 6$ square - meters.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2$. So $A=12 + 6=18$ square - meters.

Answer:

18