Question

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

Answer 1

Answer:

$x = 4$

$y =1$

Step-by-step 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

$x = \frac{12}{3}$

$x = 4$

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

$4 + y = 5y$

Collect like terms

$5y - y =4$

$4y = 4$

Divide both sides by 4

$y = \frac{4}{4}$

$y =1$