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What is the area of the Composite Figure?

What Is The Area Of The Composite Figure class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  141 units squared

Step-by-step explanation:

Dashed lines have been added to the figure to help you see one way to cut it into manageable pieces.

Triangle BCD has a base BD of 10 units and a height CD of 6 units. Its area is ...

  A = 1/2bh

  A = 1/2(10)(6) = 30 . . . square units

Square BEFG has sides of length 6. Its area is ...

  A = s²

  A = 6² = 36 . . . square units

Trapezoid AGHI has bases of 14 and 16, and a height of 5. Its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(14+16)(5) = 75 . . . square units

The total area is the sum of the parts:

  total area = triangle area + square area + trapezoid area

  total area = 30 + 36 + 75

  total area = 141 . . . square units

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