Respuesta :

The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.

Area of a rhombus

The area of a rhombus can be represented mathematically as follows:

area of a rhombus  = ab / 2

where

  • a and b are the length of the diagonal

a = 6 + 6 = 12 cm

Therefore, let's find b

tan 45 = opposite / adjacent

tan 45 = 6 / x

x = 6 / tan 45

x = 6 / 1

x = 6

b = 6 + 6 = 12 cm

Therefore,

area = 12 × 12 / 2

area = 144 / 2

area = 72 cm²

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