A wood salesperson has a fenced area in which they keep all their wood to keep it

Question

organized. The area itself is 12 ft. long and 8 ft. wide. The fence is 8 ft. high. They
have bigger pieces of wood that are 4 ft. long and 2 ft. wide and smaller pieces of wood
that are 2 ft. long and 1 ft. wide. Each piece of wood is 6 in., or ½ ft., tall. Write three different combinations of a number of big pieces of wood and a number of little pieces of wood that could be placed inside the area together.

Answer 1

1. 5 big pieces of wood and 10 little pieces of wood
- Total area taken up by big pieces of wood: 5 x (4 ft x 2 ft) = 40 sq ft
- Total area taken up by little pieces of wood: 10 x (2 ft x 1 ft) = 20 sq ft
- Total area taken up by both: 40 sq ft + 20 sq ft = 60 sq ft

2. 4 big pieces of wood and 15 little pieces of wood
- Total area taken up by big pieces of wood: 4 x (4 ft x 2 ft) = 32 sq ft
- Total area taken up by little pieces of wood: 15 x (2 ft x 1 ft) = 30 sq ft
- Total area taken up by both: 32 sq ft + 30 sq ft = 62 sq ft

3. 6 big pieces of wood and 5 little pieces of wood
- Total area taken up by big pieces of wood: 6 x (4 ft x 2 ft) = 48 sq ft
- Total area taken up by little pieces of wood: 5 x (2 ft x 1 ft) = 10 sq ft
- Total area taken up by both: 48 sq ft + 10 sq ft = 58 sq ft