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284 mm^2

Step-by-step explanation:

We observe that the figure is made up of 2 squares and 1 triangle.

Lets consider the bigger square.

We observe that it sides are 12 mm

Hence, its area would be the square of its sides and hence, 144 mm^2.

Lets now consider the smaller square.

We observe that it sides are 7 mm

Hence, its area would be the square of its sides and hence, 49 mm^2.

Now,

Lets take the triangle into consideration.

We observe that,

One of its segments is not given to us and needs to be computed;

Lets take the length of this segment as x

Hence,

As the one of the sides of both the squares sum up to the lengths of the segment and 8,

We now find its:

Base = 3+11 =14 mm

Height = 13mm

Hence, its area would be :

Hence,

The Sum of the total figure = Sum of Areas of both the squares and that of the triangle

Hence,

The Sum of the total figure =

a negative exponent is translated as follows:

so, we have