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The area of a rhombus is 110cm


Question

The area of a rhombus is 110cm

Options

A) 5.0

B) 4.0

C) 3.0

D) 2.5

The correct answer is A.

Explanation:

Diagonal |AC| = (2x + 1)cm

In the diagram,area of \(\Delta\)ABC

is \(\frac{110}{2}\) = \(\frac{1}{2}\) x |AC| x |HB|

55 = \(\frac{1}{2}\) x (2x + 1) x 10

55 = (2x + 1)5

55 = 10x + 5

55 - 5 = 10x

50 = 10x

x = \(\frac{50}{10}\)

= 5.0


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Dicussion (1)

  • Diagonal |AC| = (2x + 1)cm

    In the diagram,area of \(\Delta\)ABC

    is \(\frac{110}{2}\) = \(\frac{1}{2}\) x |AC| x |HB|

    55 = \(\frac{1}{2}\) x (2x + 1) x 10

    55 = (2x + 1)5

    55 = 10x + 5

    55 - 5 = 10x

    50 = 10x

    x = \(\frac{50}{10}\)

    = 5.0

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