If the perimeter of a rhombus is 40 cm and length of one of the diagonals is

12cm. What is the area of the rhombus ?​

1 thought on “If the perimeter of a rhombus is 40 cm and length of one of the diagonals is<br /><br />12cm. What is the area of the rhombus ?​”

1. Answer:

   96cm square

   Step-by-step explanation:

   Given the perimeter of rhombus is 40 cm and one diagonal is 12 cm

   We know that perimeter of rhombus=2

   p

   2

   +q

   2

   where -p and q are diagonal of rhombus

   ∴40=2

   (12)

   2

   +q

   2

   ⇒20=

   144+q

   2

   ⇒400=144+q

   2

   ⇒q

   2

   =400−144=256

   ⇒q=16 cm

   Then length of second diagonal is 16 cm

   Then area of rhombus=

   2

   p×q

   =

   2

   12×16

   =

   2

   192

   =96Cm square

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