Mathematics
Grade9
Easy

Question

Area of the rhombus shown below is 48 square inches. What is the value of x?

  1. 3
  2. 8
  3. 16
  4. 6

The correct answer is: 3


    In the rhombus shown above,
    d1  =  8 + 8  =  16 units
    d2 =  x + x  =  2x units
    Given: Area of the rhombus is 48 square inches.
    Then,
    1 half ⋅ (d1d2)  =  48
    Substitute 16 for d1 and 2x for d2.
    1 half ⋅ (16 ⋅ 2x)  =  48
    8 ⋅ 2x  =  48
    16x  =  48
    Divide each side by 16.
    x  =  3

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