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NemiM [27]
3 years ago
15

Find area please (3.14 as pi)

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer: 475.86 square feet

Step-by-step explanation:

Find the area of the rectangle first.

14 * 23 ft = 322 square feet

Find the area of the circle next.

The radius of the circle  = 14 ft/2 = 7 ft

A = \pi (7 ft)^2 = 49\pi

The total area is 322 + 49pi square feet = 475.86 square feet

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check the picture below.


if ∡F = 90° and ∡D = 30°, then the ∡A = 60°, meaning the triangle is a 30-60-90 triangle and therefore we can use the 30-60-90 rule as  you see in the picture.


\bf \textit{area of a triangle}\\\\&#10;A=\cfrac{1}{2}bh~~&#10;\begin{cases}&#10;b=base\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;h=7\sqrt{3}\\&#10;b=7&#10;\end{cases}\implies A=\cfrac{1}{2}(7)(7\sqrt{3})&#10;\\\\\\&#10;A=\cfrac{49\sqrt{3}}{2}\implies A\approx 42.43524478543749369142

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