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A right triangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

A right triangle is removed from a right triangle to create the shaded region shown-example-1
User Tom Schlick
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1 Answer

14 votes
14 votes

Let's remember two important formulas for the problem:

Now we need to calculate the areas of each figure using the formulas

Now we have to subtract the area of the right triangle from the area of the rectangle

The area of the shaded region is 81 cm^2.

Remember that you have to write "cm^2" because is an area. Because "cm" is for length and "cm^3" is for volume.

A right triangle is removed from a right triangle to create the shaded region shown-example-1
A right triangle is removed from a right triangle to create the shaded region shown-example-2
A right triangle is removed from a right triangle to create the shaded region shown-example-3
User Dejan S
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3.0k points