Q. 73.8( 18 Votes )

# In a rhombus PQRS

Answer :

Consider a Rhombus **PQRS**,

According to the problem, it is given that:

**PQ** = **3x - 7**.

**QR** = **x + 3**.

We know that the lengths of sides of a rhombus are equal.

So, we can clearly say that,

**PQ = QR**

⇒ 3x - 7 = x + 3

⇒ 3x - x = 3 + 7

⇒ 2x = 10

⇒

⇒ **x = 5** units

Now, let's find the length of each side,

⇒ PQ = 3x - 7

⇒ PQ = (3 × 5) - 7

⇒ PQ = 15 - 7

⇒ **PQ = 8** units

Since all the sides of a rhombus are equal.

Length of side **PS** is **8**units.

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