Question

Hey can someone please help me???????

Figure ABCD is a rectangle. The length of segment AE is (4x – 3) units and the length of segment EC is (x + 3) units.

Answer 1

hint hint - AE=EC hint hin.

Answer 2

BD is same as AC that's AE+EC = 4x-3+x+3 = 5x .....(i)

and we know AE=EC as diagonals bisect each other in a rectangle

so 4x-3=x+3

so, x=2

substitute in equation (i), and get BD=10!!

Answer 3

The diagonals of a rectangle are congruent. Because a rectangle is a parallelogram, the diagonals bisect each other. The upshot of that is the following: AE = EC = DE = EB.
AE = EC
4x - 3 = x + 3
3x = 6
x = 2
AE = 4(2) - 3 = 8 - 3 = 5
CE = 2 + 3 = 5
AC = AE + EC = 5 + 5 = 10
BD = 10 because AC = BD because the diagonals of a rectangle are congruent.