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

Answer

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 5m by 2m and the other has dimensions 3m by 3m.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 5$m and width $w = 2$m, $A_1=5\times2 = 10$ square - meters.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 3$m and width $w = 3$m, $A_2=3\times3=9$ 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 $A=10 + 9=19$ square - meters.