Coverage and boundary describe different quantities
A rectangular garden model has a length of six meters and a width of four meters. The task asks for the length of a fence around its boundary and the number of square meters of ground it covers. A learner uses six times four for both answers. Another adds six and four but forgets the opposite two sides. A third draws or describes all four sides and distinguishes the space inside from the distance around. All dimensions are given; there are no gates, overlapping beds or extra strips of land. This is a simple mathematical model, not a construction plan with additional requirements. The response should include units and explain why two different calculations are needed for the same rectangle.
1. Find the fence length and covered area.
Read the worked answer
Perimeter is6+4+6+4=20meters. Area is6×4=24squaremeters. The units and quantities differ even though both calculations use the same side lengths.
2. Why is6+4not the whole perimeter?
Read the worked answer
It counts only one length and one width. A rectangle has two of each, so all four boundary sides must be included unless the task specifies a different boundary.