To ensure the pool is a rectangle, the diagonals AC and BD must be equal in length.
Given that AC = 5y + 6 and BD = 8y − 3, we can set them equal to each other:
5y + 6 = 8y - 3
Subtracting 5y from both sides gives:
6 = 3y - 3
Add 3 to both sides:
9 = 3y
Divide both sides by 3:
y = 3
Therefore, the value of y that ensures the pool is a rectangle is 3.
A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y − 3, what value of y ensures the pool is a rectangle?
−9
9
−3
3
1 answer