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# The area of a rhombus is 110cm

### Question

The area of a rhombus is 110cm

A) 5.0

B) 4.0

C) 3.0

D) 2.5

### 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

## 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