### Home > INT2 > Chapter 12 > Lesson 12.2.4 > Problem12-141

12-141.

A rectangular garden has a perimeter of $100$ meters and a diagonal of $40$ meters. Determine its dimensions.

Write the equation for the perimeter and solve for one of the variables.

Using the same variables, write the equation for a triangle formed with the diagonal.
Solve for the dimensions (variables) as you would a system of equations.

Length $= 38.2$ m
Width $= 11.8$ m