Question

In the following figure, PQRS is a rectangle. Its diagonals meet at O. If OP=4x+21 and OS=5x+4, find x.
PLEASE ANSWER FAST

Answer 1

Step-by-step explanation:

⇒  In the given figure ABCD is a rectangle.

⇒  OA=2x+4 and OD=3x+1               [Given]

⇒  AC and BD are diagonals of a rectangle.

⇒  We know that diagonals of a rectangle are equal.

⇒  So, AC = BD

We can also write it as,

⇒  2×OA=2×OD

⇒  2×(2x+4) =2×(3x+1)

⇒  2x+4=3x+1

∴   x=3