the ratio of two adjecent sides of a parallelogram is 5:4 . its perimeter is 18 cm then , what is the length of the adjacent sides
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Given:
The perimeter of the parallelogram is 18 cm.
To find:
The length of the sides of the parallelogram.
Solution:
1) Parallelogram is the polygon in which the opposites sides are equal to each other and parallel to each other.
2) The ratio of the adjacent sides of parallelogram is 5:4.
3) So the length of parallelogram is 5x and breadth is 4x.
- Perimeter of parallelogram is 2(L+B) = 2(5x+4x) = 18x
4) According to the question the perimeter is 18 cm
so,
- 18x =18
- x = 18/18
- x = 1
now,
- the length of the parallelogram is 5x = 5.1 = 5cm
- the breadth of the parallelogram is 4x = 4.1 = 4cm
The length of the sides of the parallelogram are 5 cm and 4 cm.
Answered by
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Suppose the side be X
so the perimeter of parallelogram is:
Suppose that
Length is L.
Breadth is B.
So perimeter is:
L+L+B+B
means 2L+2B
so,
2×5'X' +2×4'X'=18
10X+8X=18
18X =18
So, X=1
Length =5cm
Breadth=4cm.
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