1 Answer

Bobbin · Answer 1 · 2022-11-19T11:22:30+0000

Here we go !!

Since it's a regular pentagon, all it's sides are equal so let's solve for x

$\hookrightarrow \: 3(x - 1) = 5x - 6$

$\hookrightarrow \: 3x - 3 = 5x - 6$

$\hookrightarrow \: 3x - 5x = - 6 + 3$

$\hookrightarrow \: - 2x = - 3$

$\hookrightarrow \: x = ( - 3)/( - 2)$

$\boxed{\boxed{x = (3)/(2) }}$

now let's find the measure of each side, i.e

$\hookrightarrow \: 5x - 6$

$\hookrightarrow \: (5 * (3)/(2)) - 6$

$\hookrightarrow \: (15)/(2) - 6$

$\hookrightarrow \: 7.5 - 6$

$\mathrm{\hookrightarrow \: 1.5 \: units}$

perimeter = 5 × side length ( for a regular pentagon )

$\hookrightarrow \: 1.5 * 5$

$\boxed{ \boxed{ \: \: \: \: \: \: \: \: 7.5 \: \: units \: \: \: \: \: \: \: }}$

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