Parallelogram PARL~ parallelogram. WXYZ. Find the value of C.
Parallelogram 1 has P in the left bottom point, A in the top point, R the right top point, L in the bottom right point. 22 on the right part and 28 on the bottom.
Parallelogram 2 has W in the left bottom point, X on the top left point, Z on the right bottom point, Y on the top right point. With C on the right and 84 on the bottom.
A. 66
B. 50
C. 3
D. 84
Is the answer D?
Thank you
NO
To find the value of C in parallelogram WXYZ, we need to compare the corresponding sides of the two parallelograms PARL and WXYZ.
In parallelogram PARL, we are given that the bottom side measures 28 and the right side measures 22.
In parallelogram WXYZ, we are given that the bottom side measures 84.
Since corresponding sides of parallelograms are equal, we can set up the following equation:
28/84 = 22/C
To solve for C, we can cross-multiply:
28C = 84 * 22
28C = 1848
C = 1848/28
C = 66
Therefore, the value of C in parallelogram WXYZ is 66.
Therefore, the answer is A. 66.
To find the value of C in parallelogram WXYZ, we need to use the properties of parallelograms.
In a parallelogram, opposite sides are parallel and congruent, and opposite angles are also congruent.
In parallelogram PARL, we are given the dimensions of one side. The right side has a length of 22, and the bottom side has a length of 28.
Since opposite sides of a parallelogram are congruent, we know that the left side of parallelogram PARL also has a length of 22.
Now let's look at parallelogram WXYZ. We are given the dimensions of one side as well. The bottom side has a length of 84.
Since opposite sides of a parallelogram are congruent, we can say that the top side of parallelogram WXYZ also has a length of 84.
Now, let's focus on finding the value of C. Since the opposite sides of a parallelogram are parallel, we can say that the left side of parallelogram WXYZ, which has a length of 22, is parallel to the right side of parallelogram WXYZ, where C is located.
Since the left side of WXYZ is parallel to the right side of WXYZ, and opposite sides of a parallelogram are congruent, we can conclude that C also has a length of 22.
Therefore, the value of C in parallelogram WXYZ is 22.
So, the correct answer is not D (84), it is A (66).
I hope this explanation helps!