<u>ANSWER: </u>
The minimum number of sheets of plywood required are 1 sheet.
<u>SOLUTION:
</u>
Given, Juan is constructing a doghouse.
He needs four pieces of plywood that are 2 ft x 3 ft rectangles.
He needs two pieces of plywood that are 2 ft x 2 ft squares.
If the plywood comes in 4 ft x 8 ft sheets,
We need to find the minimum number of sheets of plywood required.
Let us take a plywood sheet and cut the two squares.
Assume that two squares are side by side, then combined squares dimensions are 4 ft x 2ft.
So, after cutting the two square shapes from that plywood sheet, dimensions of plywood are 4ft x 6ft.
Now, assume that two rectangles are side by side, then combined rectangles dimensions are 4 ft x 3 ft.
And, let us add two more rectangles by the side of above combination of rectangles,
Then, whole combination of four rectangular pieces have dimensions as 4 ft x 6 ft.
We can observe that, plywood after cutting 2 squares has the same dimensions as 4 rectangular shapes.
So, we can make the 4 rectangular shapes from remaining piece of first plywood sheet.
Hence, the minimum number of sheets of plywood required are 1 sheet.
