53 is the answer, I think
<u>Given</u>:
Given that ABCD is a rectangle.
The diagonals of the rectangle are AC and DB.
The length of AE is (6x -55)
The length of EC is (3x - 16)
We need to determine the length of the diagonal DB.
<u>Value of x:</u>
The value of x can be determined by equating AE and EC
Thus, we have;

Substituting the values, we get;




Thus, the value of x is 13.
<u>Length of AC:</u>
Length of AE = 
Length of EC = 
Thus, the length of AC can be determined by adding the lengths of AE and EC.
Thus, we have;



Thus, the length of AC is 46.
<u>Length of DB:</u>
Since, the diagonals AC and DB are perpendicular to each other, then their lengths are congruent.
Hence, we have;


Thus, the length of DB is 46.
Answer:
SAS requires two congruent sides and the included angle be also congruent
Given is the picture are congruent triangles
<u>ΔACB ≅ ΔECD, because:</u>
- AC ≅ EC, given
- BC ≅ DC, given
- ∠ACB ≅ ∠ECD, vertical angles
Answer:
Step-by-step explanation:
Seperate the shape into two. 16x2=32cm². 12x11=132cm²
So altogether it would = 164cm²