Mathematics
Mathematics
Problem
A rectangular field has a perimeter of 56 meters and an area of 192 square meters. Find the dimensions of the field.Intuitive explanation
You have two equations linking length and width—one from perimeter and one from area. The key is to use the perimeter constraint to express one dimension in terms of the other, then substitute into the area equation to get a quadratic. Solving that quadratic gives you both dimensions, and you can verify they satisfy both original conditions.
Intuitive explanation
You have two equations linking length and width—one from perimeter and one from area. The key is to use the perimeter constraint to express one dimension in terms of the other, then substitute into the area equation to get a quadratic. Solving that quadratic gives you both dimensions, and you can verify they satisfy both original conditions.