= 8 x 5 = 40 cm?
The diagonals of a rhombus are in the ratio 2:3. If the longer diagonal is 9 cm, then find
the area of the rhombus.
Example 3
Solution:
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Answer:
27 cm²
Step-by-step explanation:
Ratio of the diagonals of the Rhombus = 2:3
Let one unit be x
Then, Ratio = 2x : 3x
Now we know that 3x = 9
Then, x = 9/3
x = 3
∴ 2x = 2 × 3 = 6
∴ The diagonals of the rhombus are 6cm and 9cm.
∴ Area of the rhombus = (d1 × d2) / 2
= 6 × 9 / 2
= 27 cm²
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