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Find the area of a compound shape

The answer is 357 m^2

I just need the steps.....

Find the area of a compound shape The answer is 357 m^2 I just need the steps.....-example-1
User Ntjess
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1 Answer

3 votes

9514 1404 393

Answer:

  • figure the areas of the rectangle and semicircle
  • add them together

Explanation:

The area of the rectangle is given by ...

A = LW

A = (20 m)(14 m) = 280 m²

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The area of the semicircle is ...

A = (1/2)πr²

A = (1/2)π(7 m)² = 24.5π m² ≈ 77 m²

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Then the total area is ...

280 m² +77 m² = 357 m²

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The width of the rectangle is the diameter of the circle, which is twice its radius. The area of a semicircle is 1/2 the area of a circle.

User Paul Lemarchand
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