Answer:
Explanation:
Values are X = 4 and Y = 5.
Given:
A figure of ||gm ABCD and side lengths are given.
The perimeter of ||gm is 40 cm.
To find:
Find the value of x and y.
Solution:
Concept/ formula to be used:
According to the property of ||gm, its opposite sides are equal.
Perimeter: Sum of all sides.
Step 1:
Mark the vertices of ||gm as shown in the attachment.
We know that
AB= DC
and AD= BC= 2x
So,
3x=2y+2
or
3x−2y=2...eq1
Step 2:
Write an equation for the perimeter.
2x + 3x + 2x + 2y + 2 = 40
or
7x+2y=38...eq2
Step 3:
Add eq1 and eq2.
3x−2y=2
7x+2y=38
−−−−−−
10x=40
or
x=4
put the value of x in eq1.
3(4)−2y=2
or
−2y=2−12
or
−2y=−10
or
y=5
Thus,
Value of x and y are 4 and 5 respectively.