The length of two Diognals of a rhombus are I. The ratio 4:5 if the area of the rhombus 810sq m find the length the diognals
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Required Answer:-
Given:
- Diagonals of a rhombus are in the ratio 4 : 5.
- Area of rhombus is 810 m²
To Find:
- The length of the diagonals.
Solution:
We know that,
→ Area of a Rhombus = 1/2 × Product of diagonals.
Let the diagonals of the rhombus be 4x and 5x.
So, according to the given condition,
→ 1/2 × 4x × 5x = 810
→ 10x² = 810
→ x² = 81
→ x = √81 cm
→ x = 9 cm.
So,
→ 4x = 36 cm.
→ 5x = 45 cm.
★ Therefore, the diagonals of the given rhombus measure 36 cm and 45 cm.
Answer:
- The diagonals of the given rhombus measure 36 cm and 45 cm.
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