Answer:
AB: 24
BC: 15
CD: 24
AD: 15
Step-by-step explanation:
A quadrilateral is any shape with four sides. A parallelogram has four sides, therefore it is classified as a quadrilateral.
The opposite sides of a parallelogram are equal to each other, so make the opposite sides of this parallelogram equal to each other in an equation.
AB = DC
AD = BC
Now you have a system of equations that you can solve by substitution.
Solve for y in the first equation by subtracting 2 from both sides.
Subtract 3y from both sides of the equation.
Divide both sides of the equation by negative 1 to make y a positive number.
Substitute this value of y into the second equation we made.
3x + 6 = (11) + 4
Combine like terms on the right side of the equation then subtract 6 from what you get.
Divide both sides of the equation by 3.
To find the length of each side of the parallelogram, substitute x into AD and y into AB.
- AD: 3(3) + 6 = 15
- AB: 2(11) + 2 = 24
Since AD = BC and AB = DC, you know the lengths for these sides as well.
