The above is a rhombus.
The length of one side is
and that of another side is
.
Find the perimeter of the rhombus.
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Relevant wiki: Quadrilateral Classification
A rhombus has 4 equal sides, so the two sides given in the question must be equal to each other. So, by , setting up the equation
3 y + 1 5 = 6 0 − 6 y
3 y + 6 y = 6 0 − 1 5
9 y = 4 5
y = 5
length of one side is
3 y + 1 5 = 3 × 5 + 1 5 = 3 0 .
So the perimeter of this rhombus is 4 times the side length, namely 3 0 × 4 = 1 2 0 .