Question

Question 4 options: Parallelogram ABCD is a rectangle. AX = 3y − 5BD = 5y What is the value of y? Enter your answer in the box. y =

Answer 1

⇒If parallelogram A B CD is a rectangle, then Diagonals of parallelogram that is of rectangle will be of equal Length.

That is , Diagonal AC = Diagonal B D

⇒Given, AX= 3 y- 5

So, AC= 2 × (3 y- 5)→→[Diagonals of Parallelogram Bisect each other]

And, B D = 5 y

So,A C = B D ⇒→→Diagonals of a rectangle are equal.]

→2 ×(3 y - 5) = 5 y

→ 6 y - 10 = 5 y →→[Using Distributive Property of subtraction with respect to multiplication]

Combining Like terms that is Variables with Variables and Constant with Constant.

→ 6 y - 5 y = 10

→  y = 10