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Review the following PA, PPD, and PDD mathematical questions in preparation for the October ARE Live episode by 12:00PM Central Time on Thursday, October 20, 2022.

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Exhibit A

Exhibit A

Question Title

* 1. Refer to Exhibit A.

An architect is working for a client who wishes to develop lot 1 into a multifamily residential project.  The client’s program calls for a 23-unit building - three units on the ground floor and four units on the remaining floors.  The following zoning information is available for corner lots in the district:
  • Floor Area Ratio (FAR): 7.5
  • Front Setback: none
  • Side Setback: 20’ along the shorter dimension of the lot.  Side setbacks do not apply along lot lines that abut streets
  • Rear Yard: 30’ x 40’, cannot overlap side yard
If the building is designed to the maximum footprint allowable and according to the client’s program, what is the maximum allowable square footage of the building?  Round to the nearest 100 square feet.

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Exhibit B

Exhibit B

Question Title

* 2. Refer to Exhibit B. 

An architect is reviewing a proposed contract with a new client and wants to verify if their budget is in line with the architect’s experience on recently completed projects.  The architect completed a Municipal Building for a neighboring town two years ago, and construction costs totaled $425 per square foot.  That project, however, didn’t contain a kitchen, which the architect estimates should cost $500 per square foot.  The architect researched inflation and found that construction costs rose 3% per year since the project was completed.  

What should the client’s budget be?  Round to the nearest thousand dollars.

Question Title

Exhibit C

Exhibit C

Question Title

* 3. Refer to Exhibit C. 

An architect is designing a new student housing building for a small college.  The building will contain the following:
  • 50 dorm rooms at 200 square feet each
  • Dining hall that can accommodate 75% of the capacity of the dormitory
  • 2,000 square foot kitchen
  • 3,965 square foot gym with 500 square foot locker room
The local zoning ordinance requires one parking space per 6 occupants as defined by 2018 IBC table 1004.5.  

How many parking spaces should be provided?

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Exhibit D

Exhibit D

Question Title

* 4. Refer to Exhibit D. 

An architect is comparing four different options for waterproofing of an exterior wall system.  The total wall area to be covered is 4,000 square feet.  The architect wants to evaluate the four options based on a 25-year life expectancy, to determine the most cost effective product.

Which product offers the lowest cost over a 25-year lifespan?

Question Title

* 5. An architect is reviewing their project for energy code compliance and wants to evaluate the composite R-value of the typical zero lot-line exterior wall assembly for their multifamily residential building.  After reviewing the specifications, they’ve compiled the following information:
  • Stucco - R 0.8
  • Gypsum board - U-Value 2.0
  • Batt Insulation - R 3.0 per inch
  • Wood Studs - U-Value 0.25
  • Windows - U-Value 0.4
The wall contains gypsum board on both sides of the structure, which is framed with 2x6 dimensional lumber.  The architect estimates that the wall is 20% framing.

What is the composite R-Value of the wall?

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