Question

the expressions 4b-6 and 2b+4 represent the lengths of the diagonals of parallelogram wxyz for what value of b is wxyz a rectangle

Answer 1

Answer:  b = 5

Step-by-step explanation:

Here parallelogram wxyz has diagonals,

4b-6 and 2b+4

Since, If a parallelogram has a equal pair of congruent or equal diagonal it is called a rectangle.

Thus, if wxyz is a rectangle,

Then, 4 b - 6 = 2 b + 4

⇒ 4b = 2 b + 4 + 6

⇒ 4 b = 2 b + 10

⇒ 4 b - 2 b = 10

⇒ 2 b = 10

⇒ b = 5

Hence, for b = 5,  wxyz is a rectangle.