Question

32. Find the area of the hexagon
15cm
4 cm​​

Answer 1

Answer:

A₀ = a * h / 2 = a * √3/2 * a / 2 = √3/4 * a². Where A₀ means the area of each of the equilateral triangles in which we have divided the hexagon. After multiplying this area by six (because we have 6 triangles), we get the hexagon area formula: A = 6 * A₀ = 6 * √3/4 * a²

Step-by-step explanation:

Answer 2

Answer:

Answer:

$\large \underline{\underline{\bf \pmb{Given}}}$

• ★ 15 cm
• ★ 4 cm

$\large \underline{\underline{\bf \pmb{To \: Find }}}$

• ★ Area of Hexagon

$\large \underline{\underline{\bf \pmb{Using \: Formula }}}$

$\circ\underline{\boxed{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{2} \times {a}^{2} }}}$

$\large \underline{\underline{\bf \pmb{Solution}}}$

1) 15 cm

${\implies{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{2} \times {15}^{2} }}}$

${\implies{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{2} \times 15 \times 15 }}}$

${\implies{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{ \cancel{2}} \times \cancel{ 225}}}}$

${\implies{\sf{Area \: of \: Hexagon = 3 \sqrt{3} \times {112.5}}}}$

${\implies{\sf{Area \: of \: Hexagon = 337.5\sqrt{3}}}}$

$\bigstar \underline{\boxed{\sf \pink{\pmb{Area \: of \: Hexagon = 337.5\sqrt{3}}}}}$

$\begin{gathered} \\ \end{gathered}$

2) 4cm

${\implies{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{2} \times {4}^{2} }}}$

${\implies{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{2} \times 4 \times 4}}}$

${\implies{\sf{Area \: of \: Hexagon = \dfrac{ 3\sqrt{3} }{ \cancel{2}} \times \cancel{16}}}}$

${\implies{\sf{Area \: of \: Hexagon = 3 \sqrt{3} \times {8}}}}$

${\implies{\sf{Area \: of \: Hexagon = 24\sqrt{3}}}}$

$\bigstar \underline{\boxed{\sf \pink{\pmb{Area \: of \: Hexagon = 24\sqrt{3}}}}}$