Question

BASE is a rectangle. Its diagonals intersect at O. Find x, if OB=5x+1 and OE=2x+4.

Answer 1

We know that in rectangle, length of both the diagonals remains same.



So, { from the given diagram }


Length of 1st diagonal = Length of 2nd diagonal


Length of AE = length of BS


{ From the diagram, AE = 2x + 4 and BS = 5x + 1 {


2x + 4 = 5x + 1

4 - 1 = 5x - 2x

3 = 3x

$\dfrac{3}{3} = x$

1 = x




Therefore the value of x satisfying the length of diagonals of rectangle BASE is 1 .

Answer 2

Solution :

In a rectangle diagonals are

equal and bisect each other.

BS = AE

=> BS/2 = AE/2

=> OB = OE

=> 5x + 1 = 2x + 4

=> 5x - 2x = 4 - 1

=> 3x = 3

=> x = 3/3

=> x = 1

Therefore ,

x = 1

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