A toy manufacturer produces a set of blocks, with edge b, that can be used by children to build play structures. The production team is analyzing the amount of paint they need for a block

Hi there! :)

If BD = 16 and AC bisects BD, then BC and CD must be equal. Therefore:

BC = CD

2y - 2 = y + 3

Subtract y from both sides and add 2 to both sides:

2y - y = 2 + 3

y = 5

Substitute the value of y into the equation for BC:

BC = 2y - 2

BC = 2(5) - 2

BC = 8

*However, since you were given the total length of BD and the fact that AC is its bisector (splits it in half), you can simply do:

16 / 2 = 8 units.