Ratio of two adjacent sides of a parallelogram are in the ratio 3 : 8 and perimeter of the parallelogram is 110 cm. Then find the sides
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GIVEN :-
- Ratio of the two adjacent sides of paralellogram = 3 : 8
- Perimeter of the parallelogram = 110 cm
TO FIND :-
- The Sides of the parallelogram
SOLUTION :-
Let the ratio constant be "x". Then the sides becomes , "3x" and "8x"
In a parallelogram opposite sides are equal . So , The other two sides are also "3x" and "8x"
Perimeter of parallelogram = 110 cm
→ 3x + 8x + 3x + 8x = 110 cm
→ 2(3x+8x) = 110 cm
→ 2(11x) = 110 cm
→ 22x = 110 cm
→ x = 110/22 cm
→ x = 5 cm
Then the sides are ,
- 3x = 3(5) = 15 cm
- 8x = 8(5) = 40 cm
Hence , The length of the sides of the parallelogram are 15 cm , 40 cm , 15 cm and 40 cm.
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