find the area of the rhombus if the s of thr diagonals is 24cm and the ratio of two diagonals is 3:5
Answers
Answered by
1
Step-by-step explanation:
24=8x
x=3
9:15
is your answer hopefully it will help you
Answered by
67
Given :-
- One Diagonal of Rhombus = 24cm
- Ratio of two diagonal = 3:5
To Find :-
- Area of Rhombus
Solution :-
⟾ Let the First Diagonal be 3x
⟾ Let the Second Diagonal be 5x
Given Condition :
⟶ 3x = 24
⟶ x = 24 / 3
⟶ x = 8
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Therefore :
- 1st diagonal = 3x = 3 × 8 = 24cm
- 2nd diagnal = 5x = 5 × 8 = 40cm
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Area of Rhombus :
➞ Area of Rhombus = ½ × D1 × D2
➞ Area of Rhombus = ½ × 24 × 40
➞ Area of Rhombus = ½ × 960
➞ Area of Rhombus = 480cm²
Thus Area of Rhombus is 480cm²
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