Question

The width of a one side of a parallelogram is two–third of its other side. If the perimeter is 180 meters,

find the dimension of parallelogram,​

Answer 1

Step-by-step explanation:

Let the length of the rectangle be x m.

Then, width of the rectangle =

3

2x

Given, perimeter of the rectangle =180

⟹2(x+

3

2x

)=180

⟹2(

3

3x+2x

)=180

⟹2(5x)=180×3 ....[By cross-multiplication]

⟹10x=540

⟹x=54

Now, width of the rectangle =

3

2x

=

3

2×54

=36 m

Hence, the length of the rectangle is 54 m and that of breadth is 36 m.

Answer 2

Answer:

Let the length of the rectangle be x m.

Then, width of the rectangle =

3

2x

Given, perimeter of the rectangle =180

⟹2(x+

3

2x

)=180

⟹2(

3

3x+2x

)=180

⟹2(5x)=180×3 ....[By cross-multiplication]

⟹10x=540

⟹x=54

Now, width of the rectangle =

3

2x

=

3

2×54

=36 m

Hence, the length of the rectangle is 54 m and that of breadth is 36 m.

Step-by-step explanation:

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