(a) In addition to the tax levied pursuant to Part 1.5 (commencing with Section 7200) and any other tax authorized by this part, the Board of Supervisors of the County of San Mateo may impose a transactions and use tax in lieu of, and not in addition to, a tax imposed under Section 7285.5 for the purposes described in paragraph (4), by the adoption of an ordinance in accordance with this part if all of the following conditions are met:

1. (1) The ordinance imposing the tax is approved by a two-thirds vote of all members of the board of supervisors and is subsequently submitted to and approved by the voters of the county by a two-thirds vote of those voters voting on the ordinance in accordance with Article 3.7 (commencing with Section 53720) of Chapter 4 of Part 1 of Division 2 of Title 5 of the Government Code.
2. (2) The ordinance includes an expenditure plan describing the purposes for which the revenues from the tax may be expended, consistent with the purposes described in paragraph (4). The plan may provide for distribution of revenues to cities and special districts within the county for implementation of the plan.
3. (3) The tax is imposed at a rate of 0.125 or 0.25 percent for a specified period of time.
4. (4) The revenues collected from the tax are used only for park and recreation acquisition, improvements, maintenance, programs, and operations within the incorporated and unincorporated areas of the county.
5. (5) The transactions and use tax conforms to Part 1.6 (commencing with Section 7251).