Answer:
The value of b is 5 if the parallelogram is a rectangle
Step-by-step explanation:
Mathematically, the diagonals of a rectangle are equal in value
Thus, for the given expressions to represent the diagonals of a rectangle, the two must be equal
To get the value of b that makes the two equal, we simply equate the two expressions
We have this as;
10/12(24b/5 - 36/5) = 2/3 (3b + 6)
opening the brackets, we have;
4b - 6 = 2b + 4
4b - 2b = 4 + 6
2b = 10
b = 10/2
b = 5
