Mathematics: If the apothem is 13 square root 3 ft what is the area of the hexagon

Step-by-step explanation:we haveSimplifywe know thatIn a difference of squareRemember thattherefore...

If the apothem is 13 square root 3 ft what is the

Ответ:

kevenluna10oytivm

17.01.2022

Mathematics

The area of the hexagon is $1,014\sqrt{3}\ ft^{2}$

Step-by-step explanation:

we know that

The area of a regular hexagon is equal to

$A=\frac{1}{2}Pa$

where

P is the perimeter

a is the apothem

Find the length side of the hexagon

Let

b-----> the length side of the hexagon

Remember that

The formula to calculate the length side given the apothem is equal to

$b=\frac{2a}{\sqrt{3}}$

we have

$a=13\sqrt{3}\ ft$

substitute

$b=\frac{2(13\sqrt{3})}{\sqrt{3}}$

$b=26\ ft$

Find the perimeter P

$P=6b=6(26)=156\ ft$

Find the area of the hexagon

$A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}$

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Ответ:

tigistamare03

21.08.2021

Mathematics

(m-6)(m+6)

Step-by-step explanation:

we have

$m^{2} -6m+6m-36$

Simplify

$m^{2} -6m+6m-36=m^{2} -36$

we know that

In a difference of square

$(a^{2}-b^{2})=(a+b)(a-b)$

Remember that

$36=6^{2}$

therefore

$(m^{2}-6^{2})=(m+6)(m-6)$

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If the apothem is 13 square root 3 ft what is the area of the hexagon

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