A contractor is building a pool labeled ABCD on the plans. If AC = 15y − 7 and BD = 2y + 6, what value of y ensures the pool is a rectangle?

Question

A contractor is building a pool labeled ABCD on the plans. If AC = 15y − 7 and BD = 2y + 6, what value of y ensures the pool is a rectangle?

−13
−1
1
13

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

1

For a rectangle, the diagonals must be equal in length. Therefore, AC must be equal to BD.

15y − 7 = 2y + 6
13y = 13
y = 1

Therefore, the value of y that ensures the pool is a rectangle is y = 1.