# Math

posted by .

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 -

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.

## Similar Questions

1. ### math , correction

theres a diagram which in the diagram the points are: (-3,1),(0,3),(2,0), (-1,-2). And the directions say: use the concept of slope to determine if the given figure is a parallelogram or a rectangle: so this is what i did please can …
2. ### geometry theorems

I have six questions which will be on a test two weeks from now, and I do not understand. Help me find out these theorems for the blanks. 1. If one pair of consecutive sides of a parallelogram are congruent, then the parallelogram …
3. ### maths

The measures of two adjacent sides of a parallelogram are in the ratio 17:7. if the second side measures 3.5 cm, find the perimeter of the parallelogram.
4. ### math

If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 meters and its area is 210 sq m, find the length of two adjacent sides of the parallelogram.
5. ### math

If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 meters and its area is 210 sq m, find the length of two adjacent sides of the parallelogram.
6. ### geometry

a parallelogram has the vertices (-1,2), (4,4), (2,-1), and (-3,-3). determine what type of parallelogram. find the perimeter and area. i found the parallelogram part and its a rhombus but i cant find the perimeter and area
7. ### math

Two adjacent sides of a parallelogram are four cm and five cm find the perimeter of the parallelogram
8. ### maths

the perimeter of a parallelogram is 28 cm and ratio of the adjacent sides is 3:4 find the sides of a parallelogram?
9. ### easy geometry

1)If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus. 2)A regular hexagon with a perimeter of 24 units is inscribed in a circle. Find the radius of the circle. 3)Find the altitude,perimeter and …
10. ### math

A diagonal of a parallelogram forms 25° and 35° angles with the sides of a parallelogram. Find the angles of the parallelogram.

More Similar Questions