**Answer:**

Please read the answers below.

**Step-by-step explanation:**

**Part A. Explain how Oscar can divide it into two smaller pieces of plywood?**

He can use a handsaw and cut the plywood in two smaller pieces of several measures, not necessarily the two smaller pieces need to be equal.

**Part B. Would the area of the smaller pieces equal the area of the large piece?**

<u>**Yes, the area of the two smaller pieces together equal the are of the large piece.**</u>

i. Let's suppose we have two pieces of 4.5 feet by 9 feet, then the combined area of these two pieces would be:

A = 4.5 *9 + 4.5 * 9

**A = 40.5 + 40.5 = 81 ft² that is the same than 9 * 9 = 81 ft²**

ii. Now let's suppose we divide the plywood into a piece of 6 ft by 9 ft and a second one of 3 ft by 9 ft, then the combined area of these two pieces would be:

A = 6 * 9 + 3 * 9

**A = 54 + 27 = 81 ft² that is the same than 9 * 9 = 81 ft²**

iii. Finally, let's suppose we divide the plywood into a piece of 1 ft by 9 ft and a second one of 8 ft by 9 ft, then the combined area of these two pieces would be:

A = 1 * 9 + 8 * 9

**A = 9 +72 = 81 ft² that is the same than 9 * 9 = 81 ft²**