If the length of each side of a rhombus is (3x + 4) and its perimeter is 76 units, find the value of x

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Solution

Perimeter of the rhombus = 76 units
$\Rightarrow 4 s = 76$
Divide each side by 4, we get
$s = 19$
But length of each side of a rhombus is (3x + 4) units
$∴ 3 x + 4 = 19$
$\Rightarrow 3 x = 19 - 4$
$\Rightarrow 3 x = 15$
$\Rightarrow x = \frac{15}{3} = 5$

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