Question

In order for the parallelogram to be a

rectangle, x = [?]
Diagonal AC = 7x - 35
Diagonal BD = 3x + 45
A
B.
D
C С

Answer 1

In a rectangle, the diagonals are equal in length. Therefore, for the parallelogram to be a rectangle, the lengths of diagonals AC and BD must be equal.

7x - 35 = 3x + 45

Subtract 3x from both sides:

4x - 35 = 45

Then add 35 to both sides:

4x = 80

Finally, divide both sides by 4:

x = 20

So, for the parallelogram to be a rectangle, x must be 20.

Step-by-step explanation:

Answer 2

Answer: 20

Step-by-step explanation:

For any rectangle, the diagonals are the same length.

AC = BD

7x-35 = 3x+45

7x-3x = 45+35

4x = 80

x = 80/4

x = 20