In the accompanying diagram of rhombus ABCD, the lengths of the sides AB and BC are represented by 3x-4 and 2x+1, respectively. Find the value of x.

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23-04-2018
Mathematics

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In the accompanying diagram of rhombus ABCD, the lengths of the sides AB and BC are represented by 3x-4 and 2x+1, respectively. Find the value of x.

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Louli Louli · Answer 1 · 2018-04-23T16:40:54+02:00

Louli Louli

23-04-2018

Answer:
x = 5

Explanation:
A rhombus is a quadrilateral in which all sides are equal.

Since ABCD is a rhombus, therefore:
AB = BC
3x - 4 = 2x + 1
3x - 2x = 1 + 4
x = 5

We can check:
AB = 3(5) - 4 = 11 units
BC = 2(5) + 1 = 11 units
They are equal

Hope this helps :)

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