Question

In rhombus PQRS if the diagonal PR = 8 and diagonal QS = 6, then perimeter of rhombus is ______ (a) 10
(b) 40
(c) 5
(d) 20

Answer 1

Answer:

40 is the perimeter of rhombus

Answer 2

Answer:

20

Step-by-step explanation:

given,

digonal of rhombus,  PR = 8

                                    QS = 6

since the diagonal of a rhombus bisect each other at right angle,so the triangle QOR is a right angle triangle

and PO=OR=$\frac{8}{2} =4$

QO=OS=$\frac{6}{2} =3$

now in triangle QOR,aacording to pythagoras theorem

$QR^{2} =OQ^{2} +OR^{2}$

                   =$3^{2} +4^{2}$

             QR=$\sqrt{25}$=5

since ,the every side of rhombus are equal ,so the perimeter of given rhombus is $4\times5$=20