Let's tackle each question one by one.

Problem 5: Area of the Figure

The figure shown in Problem 5 is a trapezoid. The formula for the area $A$ of a trapezoid is:

$A = \frac{1}{2} \times (b_1 + b_2) \times h$

Where:

• $b_1$ and $b_2$ are the lengths of the two parallel sides.
• $h$ is the height of the trapezoid.

From the figure:

• $b_1 = \frac{3}{8}$ yd
• $b_2 = \frac{7}{8}$ yd
• $h = \frac{1}{3}$ yd

Step-by-Step Calculation:

1. Add the bases:
   $b_1 + b_2 = \frac{3}{8} + \frac{7}{8} = \frac{10}{8} = \frac{5}{4}$

2. Plug into the formula:
   $A = \frac{1}{2} \times \left(\frac{5}{4}\right) \times \left(\frac{1}{3}\right)$

3. Multiply the fractions:
   $A = \frac{1}{2} \times \frac{5}{4} \times \frac{1}{3} = \frac{5}{24}$

4. Multiply by simplifying.