Question

find the area of the shape. (sides meet at right angles.) 5 m 2 m 2 m 3 m 5 m

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle with length 5m and width 2m, and another with length (5 - 2)=3m and width 3m.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with $l = 5m$ and $w = 2m$, the area $A_1=5\times2 = 10m^{2}$.

Step3: Calculate area of second rectangle

For the second rectangle with $l = 3m$ and $w = 3m$, the area $A_2=3\times3=9m^{2}$.

Step4: Calculate total area

The total area of the shape $A = A_1+A_2$. So $A=10 + 9=19m^{2}$.

Answer:

$19m^{2}$