Question

If in the rhombus ABCD, AB =3x +4 and BC =2x+7 ,then find the length of DC and AD.​

Answer 1

Step-by-step explanation:

According to the universal rules Quadrilateral, All sides of a rhombus are equal.

So we can say that,

In rhombus ABCD,

• AB = BC = DC = AD

We found from above,

• AB = BC ---[1]

As given,

• AB = 3x + 4 and BC = 2x + 7

Let substitute in Eq [1],

• ➠ AB = BC ---[1]
• ➠ 3x + 4 = 2x + 7
• ➠ 3x - 2x = 7 - 3
• ➠ x = 3units

As, AB = 3x + 4

• ➠ AB = 3(3) + 4
• ➠ AB = 9 + 4
• ➠ AB = 13units

As, AB = BC = DC = AD

So we can say that,

• DC = AB = AD

Therefore,

• DC = AD = 13units

Finalized Answer:

• The length of DC and AD is 13 units.