Question

ABCD is a rectangle and its diagonals AC and BD meet at P such that PA= 4y- 3 and PD= 2y+3. Find the length of the diagonals.
help with diagram

Answer 1

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Answer:

9 units (Both of the diagonals are equal)

Step-by-step explanation:

Since the Diagonals of a Rectangle are equal, we can say,

Given: Find PA and PD, as diagonals are bisectors,

⇒ 1/2(4y-3) = 1/2(2y+3)

⇒ 1/2(4y-2y) = 1/2(3+3) [Transposition]

⇒ 2y = 6 [1/2 gets cancelled]

⇒ y = 3

Therefore, the length of the PA, and PD is:

= (2y+3)

= 2(3)+3

= 6+3

= 9