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Answer :

The area of the shaded rectangle is 18 square units.

How to get the area of the shaded region?

The shaded region is the framed rectangle, and the white part is the frame.

We know that the frame is 2 units wide, and the measure of the rectangle and the frame are:

  • width = 7 units
  • length = 10 units

Now, if we remove the frame, we will remove 2*2 units = 4 units for each measure (because for each measure we have the frame in both sides).

So the measures for the shaded rectangle are:

  • width = 7 units - 4 units = 3 units
  • length = 10 units - 4 units = 6 units.

And the area of a rectangle is given by the product between the width and length, then we have:

A = (3 units)*(6 units) = 18 square units.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081