ABCD is a parallelogram. if the ratio of the two side is 3:2 and perimeter is 120m. then find the length of the sides
of the parallelogram.
Answers
- ABCD is a parallelogram. if the ratio of the two side is 3:2 and perimeter is 120m. then find the length of the sides of the parallelogram.
- perimeter of //gm = 120 m
- ratio of the sides = 3 : 2
- Sides of the //gm = ???
let the sides be 2x and 3x
120 = 2 (3x + 2x )
120 = 2 * 5x
120 = 10x
x = 120/10
x = 12
- putting value of x in the given ratio
2x = 2 * 12 = 24cm
3x = 3 * 12 = 36cm
Therefore sides of the parallelogram :-
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Step-by-step explanation:
ABCD is a parallelogram. if the ratio of the two side is 3:2 and perimeter is 120m. then find the length of the sides of the parallelogram.
\sf{\huge{\purple{\mathfrak{\underline{\underline{Solution}}}}}}Solution
\sf{\bold{\green{\underline{\underline{Given}}}}}Given
perimeter of //gm = 120 m
ratio of the sides = 3 : 2
\sf{\bold{\blue{\underline{\underline{To\:find}}}}}Tofind
Sides of the //gm = ???
\sf{\bold{\purple{\underline{\underline{Solution}}}}}Solution
let the sides be 2x and 3x
\sf{\bold{\red{\boxed{perimeter = 2(length + breadth)}}}}perimeter=2(length+breadth)
120 = 2 (3x + 2x )
120 = 2 * 5x
120 = 10x
x = 120/10
x = 12
putting value of x in the given ratio
2x = 2 * 12 = 24cm
3x = 3 * 12 = 36cm
Therefore sides of the parallelogram :-
\sf{\bold{\orange{\boxed{24cm \:and\: 36 cm}}}}24cmand36cm