Rhombus' Side Length

Geometry Level 1

The above is a rhombus.
The length of one side is 3 y + 15 3y + 15 and that of another side is 60 6 y 60 - 6y .
Find the perimeter of the rhombus.


The answer is 120.

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2 solutions

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 + 15 = 60 6 y 3y + 15 = 60 - 6y

3 y + 6 y = 60 15 3y + 6y = 60 - 15

9 y = 45 9y = 45

y = 5 y = 5

length of one side is

3 y + 15 = 3 × 5 + 15 = 30 3y + 15 = 3 \times 5 + 15 = 30 .

So the perimeter of this rhombus is 4 times the side length, namely 30 × 4 = 120 30\times4=\boxed{120} .

I can't believe I viewed the solution. I'm a math teacher for gods sake

joshua ennis - 4 years, 7 months ago

That's a nice question

Ashok Mittra - 4 years, 7 months ago
Samyak Jain
Oct 28, 2016

A Rhombus is special type of quadrilateral whose all 4 sides are equal
Therefore,
3y+15=60-6y
On solving we get
y=5
Hence length of each side is 30
Hence perimeter = 4×side =120



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