Math Problem Statement
A wall is used to mark out the perimeter of a rectangular field WXYZ. Walls are also used to divide WXYZ into four identical rectangular fields, P, Q, R, and S, as shown. The total length of the wall used is 260 m. What is the length of WZ that maximises the area P?
Solution
To
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Optimization
Rectangles
Formulas
Perimeter formula of a rectangle: 2(length + width)
Area formula for a rectangle: length × width
Optimization to maximize area under constraints
Theorems
-
Suitable Grade Level
Grades 9-12
Related Recommendation
Optimization Problem: Maximizing the Area of a Rectangular Field with Fixed Fencing
Maximizing Garden Area with 150 Meters of Fencing and 10-Meter Opening
Maximizing the Area of a Rectangular Field with Fencing Along Three Sides
Optimizing Fencing for a Rectangular Field with Partitions
Optimization of a Rectangular Field's Area with Fencing Constraints