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The area of rhombus ABCD is 120 square units.
AE = 12 and BD = x - 2. What is the value of x and the
length of segment BD?
BD =
units

Respuesta :

Answer: x=12 BD=10

Step-by-step explanation:

akposevictor

Given that the area of the rhombus is 120 sq. units: value of x = 12; BD = 10 units.

What is the Area of a Rhombus?

Area of rhombus = 1/2(d1 × d2), where d1 and d2 are the diagonals of the rhombus.

Given:

  • Area = 120 sq. units.
  • AE = 12
  • AC = 2×12 = 24
  • BD = x - 2

Area = 1/2(AC × BD)

120 = 1/2(24)(x - 2)

240 = 24x - 48

240 + 48 = 24x

288 = 24x

288/24 = x

x = 12

BD = x - 2

Plug in the value of x

BD = 12 - 2

BD = 10 units

Therefore, given that the area of the rhombus is 120 sq. units: value of x = 12; BD = 10 units.

Learn more about area of rhombus on:

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