Question

PQRS is a rectangle . Diagonals PR and QS meet at point O . If OP = 2x + 4 , OS = 3x + 1 , find x and QS.
I want the value of QS
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Answer 1

Answer:

QS= 20

Step-by-step explanation:

The diagonals of a rectangle are equal and bisects each other.

so, OP=OS ______(1)

given OP=2x+4 ______(2)

OS=3x-1. ______(3)

Putting the values of OP and OS in (1) we get,

3x+1=2x+4

3x-2x=4-1

x=3

By putting value of x=3 in (2) and (3) we get,

OP=(2*3)+4

=6+4

=10

OS=(3*3)+1

=9+1

=10

As the diagonals bisects each other so

QS= 2*OS

QS =2*10

=20