Question

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.

Answer 1

Answer:
x = 5

Step-by-step 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 :)