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Bond [772]
3 years ago
12

One rectangle is "framed" within another. Find the area of the shaded region if the

Mathematics
1 answer:
sertanlavr [38]3 years ago
8 0

The area of the shaded rectangle is 18 square units.

<h3>How to get the area of the shaded region?</h3>

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:

brainly.com/question/17297081

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Answer:

x = 29°

Step-by-step explanation:

the Δ on the right has 3 angles whose measures are 30°, 74°, and 76° (you get 76° because it forms a linear pair with an angle that is 104°; you get 74° by adding 30 and 76 and subtracting the sum from 180°.

the Δ on the left has 3 angles whose measures are 45°, 29°, and 106° (you get 106° because it forms a linear pair with an angle that is 74°; you get 29° by adding 45 and 106 and subtracting the sum from 180°.

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