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3 years ago

Find the area of a compound shape The answer is 357 m^2 I just need the steps.....

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

9514 1404 393

Answer:

figure the areas of the rectangle and semicircle
add them together

Step-by-step explanation:

The area of the rectangle is given by ...

A = LW

A = (20 m)(14 m) = 280 m²

The area of the semicircle is ...

A = (1/2)πr²

A = (1/2)π(7 m)² = 24.5π m² ≈ 77 m²

Then the total area is ...

280 m² +77 m² = 357 m²

_____

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.

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