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26 votes
Hey Rachael is removed from a rectangle to create the shaded region chandelier find the area of the shaded region be sure to include the correct unit in youranswer

Hey Rachael is removed from a rectangle to create the shaded region chandelier find-example-1
User Yanir Mor
by
2.5k points

1 Answer

14 votes
14 votes

Answer:

34.5 cm²

Explanation:

The area of the shaded region is the area of the rectangle minus the area of the right triangle.

The area of the rectangle is simply the length 7 cm multiplied by the width 6 cm.

To find the area of the right triangle, you must first find the base and height of the triangle.

The two lengths can be found this way:

7 cm - 2 cm = 5 cm

6 cm - 3 cm = 3 cm

area of shaded region = LW - bh/2

area of shaded region = 7 cm × 6 cm - 5 cm × 3 cm / 2

area of shaded region = 42 cm² - 7.5 cm²

area of shaded region = 34.5 cm²

User Reynard
by
2.6k points
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