Question

if length of a diagonal of a rhombus is 13 cm and its area is 240 square cm find its perimeter​

Answer 1

Answer:

Length of Diagonal 2= 16cm

Side of rhombus= 17cm

Perimeter of rhombus=68cm

Hope it helps...!!!

Step-by-step explanation:

Given: Length of the diagonal of a rhombus is 30 cm and area is 240 sq cm.

Since diagonals of the rhombus bisects each other at 90°,therefore OA=OC=15cm.

Now, Area of rhombus=, where  and  are the two diagonals of rhombus.

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Now, OB=OD=8

From ΔAOB, using Pythagoras theorem,

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Since, in rhombus all four sides areequal, therefore, AB=BC=CD=DA=17

Now, perimeter of rhombus is=

                                                 =

                                                 =

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