Abcd is rectangle. find the length of each diagonal
ac=c/3
bd=4-c

Recall the following result:

In a rectangle ABCD, the diagonals AC and BD are equal to each other, that is, AC = BD.

Consider the following statement:

and BD =4-c

The objective is to find the length of each diagonal.

As per the result:

In a rectangle ABCD:

AC = BD

Substitute the given values:

Multiply both sides by 3:

Simplify:

c = 12-3c

Add 3c to both sides :

4c= 12

Divide both sides by 4;

c = 3

Then,

BD=4-3 = 1

Therefore, the length of each diagonal is, 1.

is there a picture

step-by-step explanation: