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

Write in equation form

1 answer

1) 4 big pieces of wood and 8 little pieces of wood
Equation: 4(4ft x 2ft) + 8(2ft x 1ft) = 32 ft² + 16 ft² = 48 ft²

2) 6 big pieces of wood and 6 little pieces of wood
Equation: 6(4ft x 2ft) + 6(2ft x 1ft) = 48 ft² + 12 ft² = 60 ft²

3) 8 big pieces of wood and 4 little pieces of wood
Equation: 8(4ft x 2ft) + 4(2ft x 1ft) = 64 ft² + 8 ft² = 72 ft²