Posted by **Maccbath** on Sunday, February 19, 2012 at 10:18am.

The sides of parallelogram 2x+y,3y-2x,5y-8,4x-3 are given in cm.find x and y and the perimeter of the parallelogram

- Math -
**Reiny**, Sunday, February 19, 2012 at 10:29am
I assume you have listed the sides in order going around the parallogram.

Opposite sides are equal, so ...

2x+y = 5y-8 ----> 2x-4y = -8

3y-2x = 4x-3 ---> 6x - 3y = 3

divide the 2nd by 3

2x - y = 1

2x-y = 1

2x-4y = -8

subtract them

3y = 9

y = 3

then 2x-3=1

x = 2

for perimeter, evaluate each of the sides using the values for x and y, then add up the length of the sides.

## Answer This Question

## Related Questions

- math - If the perimeter of a parallelogram is 140 m, the distance between a pair...
- math - If the perimeter of a parallelogram is 140 m, the distance between a pair...
- math - Two adjacent sides of a parallelogram are four cm and five cm find the ...
- geometry theorems - I have six questions which will be on a test two weeks from ...
- maths - the perimeter of a parallelogram is 28 cm and ratio of the adjacent ...
- easy geometry - 1)If diagonals of a rhombus are 10 cm and 24 cm. find the area ...
- geometry - a parallelogram has the vertices (-1,2), (4,4), (2,-1), and (-3,-3). ...
- maths - The measures of two adjacent sides of a parallelogram are in the ratio ...
- math - A parallelogram has an area of 8x^2 - 2x -45. The height of the ...
- Math - the distance between the center of symmetry of a parallelogram and its ...

More Related Questions