Question

What value of x and y will make the polygon below a parallelogram?

Answer 1

`x = 4`

`y =1`

Explanation:

Given

The attached figure

Required

x and y

If the attached is a parallelogram, then:

Either segment of a diagonal are equal; So, we have:

`3x = 12`

`x + y = 5y`

In
`3x = 12`

Divide both sides by 3

`x = (12)/(3)`

`x = 4`

Substitute
`x = 4` in
`x + y = 5y`

`4 + y = 5y`

Collect like terms

`5y - y =4`

`4y = 4`

Divide both sides by 4

`y = (4)/(4)`

`y =1`