Area of Complex Figures

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Area of Complex Figures

• 7.3

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Review
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Vocabulary and Notes
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Steps

• Cut the shape into simple shapes that we know the
  area formulas for.
• Find the area of each part.
• Add the areas together to find the area of the
  complex shape.

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Find the area of the complex figure.
The figure can be separated into a rectangle and
two congruent triangles.
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Area of rectangle
Area of one triangle
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Find the area of the complex figure.
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Find the area of the complex figure. Round to the
nearest tenth.
The figure can be separated into two semicircles
and a rectangle.
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Area of one semicircle
Area of rectangle
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Find the area of the complex figure. Round to the
nearest tenth.
Answer
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SHORT-RESPONSE TEST ITEM Below are plans for the
new deck on the Obwenas house. How many square
feet of wood will be needed if one square
represents two square feet?
Read the Test ItemYou need to find the area of
the deck in square units and then multiply this
result by 2 to find the area of the deck in
square feet.
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Solve the Test ItemFind the area of the deck by
dividing it into smaller areas.
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Region A Square
Region B Triangle
Region C Rectangle
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Region D Rectangle
Region E Triangle
Region F Rectangle
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Region G Triangle
Region H Square
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SHORT-RESPONSE TEST ITEM Below are plans for the
new patio to be added in the Murphys back yard.
How many square feet of concrete will need to be
poured if one square represents two square feet?
Answer
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Review