find the sides of a parallelogram whose sides are in the ratio of 3 : 5 and its perimeter is 1680 cm. Relpy pllz
Answers
Answer:
315 cm and 525 cm
Given:
Sides of llgm=3 cm and 5 cm
Perimeter=1680 cm
To find:It's sides
solution:-
let the sides be 3x and 5x
We know that
Perimeter of Parallelogram=2(a+b)
1680=2(3x+5x)
1680=2(8x)
1680=16x
105=x
x=105
---------
3x=3×105
=315 cm
5x=5×105
=525 cm
Perimeter of parallelogram = 1680 cm.
Sides of parallelogram are in the ratio 3 : 5.
__________ [ GIVEN ]
• Let first side of parallelogram be 3M and second side be 5M.
____________ [ ASSUME ]
We know that..
» Perimeter of parallelogram = 2(a + b)
→ 1680 = 2(3M + 5M)
→ 1680 = 2(8M)
→ 1680 = 16M
→ 16M = 1680
→ M = 1680/16
→
____________________________
So,
First side of parallelogram = 3M
=> 3(105)
=> 315
Second side of parallelogram = 5M
=> 5(105)
=> 525
____________________________
Sides of parallelogram are 315 cm and 525 cm
__________ [ ANSWER ]
____________________________
✡ VERIFICATION
From above calculations we have M = 105
Put value of M in this : 1680 = 2(3M + 5M)
=> 1680 = 2(8M)
=> 1680 = 16M
=> 1680 = 16(105)
=> 1680 = 1680
_____________________________