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MAXImum [283]
2 years ago
9

The perimeter of a square is 96m.Find its area.

Mathematics
2 answers:
nadya68 [22]2 years ago
4 0
<h3>Solution</h3>

P = 4a

96 = 4a

a = 24 m

so, the area is

A = a²

A = 24²

A = 24 × 24

A = 576 m²

Readme [11.4K]2 years ago
3 0
The area of that square is 576 because 96/4 to find the side length of the square which is 24 then plug in the formula (side length x side length) or 24 x 24 giving 576
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One more time!
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Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\&#10;x = \frac{\sqrt{19} }{2}

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q(\frac{\sqrt{19} }{2} ) = 1/4

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p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right)  \right)

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p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left(  \frac{\sqrt{19} }{2}\right)^2 }{ \left(  \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow

\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow  -\dfrac{6\sqrt{19} }{361}

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