Humber/Ontario Real Estate Course 4 Exam Practice

Determine the total square footage for the following rooms: a square room with a side of 13 feet, a trapezoid room with parallel sides of 26 feet and 31 feet and a distance of 16 feet between them, and a rectangular room of 21 feet by 22 feet.

1. 1,087 square feet

2. 1,543 square feet

3. 668 square feet

4. 859 square feet

5. 974 square feet

6. 1,209 square feet

The correct answer is: 1,087 square feet

To find the total square footage for the rooms, we need to calculate the area of each individual room and then add them together. 1. **Square Room**: The formula for the area of a square is side length squared. Given that the side is 13 feet: \[ \text{Area of the square} = 13 \, \text{feet} \times 13 \, \text{feet} = 169 \, \text{square feet} \] 2. **Trapezoid Room**: The area of a trapezoid can be determined with the formula: \[ \text{Area} = \frac{(b_1 + b_2)}{2} \times h \] Here, \( b_1 = 26 \) feet, \( b_2 = 31 \) feet, and the height \( h = 16 \) feet. Thus, \[ \text{Area of the trapezoid} = \frac{(26 + 31)}{2} \times 16 = \frac{57}{2} \times 16 = 28.5 \times 16 =