Answer:
3,5
Step-by-step explanation:
Represent the width by W and the length by L. L = W + 2 (because L and W are consecutive odd integers).
Then L * W = 15 units^2, and after substitution this becomes:
(W + 2) * W = 15, or W^2 + 2W - 15 = 0.
This factors as follows: (W + 5)(W - 3) = 0, and the positive root is W = 3.
The length and width of the rectangle are 3 and 5 respectively.
Note that 3 and 5 are consecutive odd integers, and that 3 * 5 = 15 units^2.
