Question

"find the area of the figure. All intersecting sides meet at right angles.

Answer 1

Based on the given figure above, here is how you get the area.
Firstly, you get the area of the part with the measurement of 4m and 4m. This has the same measurement of the sides so it is easier to find the area. The formula for the area of the square is s x s. So 4m x 4m is 16m^2. Next, get the area of the rectangle part. Getting the area of the rectangle is l x w. So 9m x 10m would be 90m^2. Now add both values and you get 106m^2. So the answer is option B.

Answer 2

Answer:

The answer is B. 106 $m^2$

Step-by-step explanation:

In order to determine the area of the figure, we need to divide the complete figure to form figures with known areas.

As we see in the image, we can divide it into two figures: one is a square and the other is a rectangle.

I have attached an image that shows the divided figure. Also we have to know the area of a square and of a rectangle.

Square area:

$A=a^2$

where a is the side of the square.

Rectangle area:

$A=b*a$

where a, b are the sides of the rectangle.

Then, the area of the figure is:

$A=square+rectangle\\A=4*4+9*10\\A=16+90\\A=106$

Finally, the area is B. 106 $m^2$