Math Problem Statement
A rectangle is divided into four small rectangles as shown. Three of the small rectangles are labelled with their perimeter. What is the perimeter of the fourth rectangle? [asy] unitsize(0.3 cm); pair A,B,C,D,EE,F,G,H; A=(0,0); B=(16,0); D=(0,7); C=B+D; EE=(0,3); F=(6,0); G=EE+B-A; H=D+F; draw(A--B--C--D--cycle); draw(F--H^^EE--G); label("$10$", (3,5), red); label("$6$", (3,3/2), red); label("$25$", (11,3/2), red); label("$?$", (11,5), red); [/asy]
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter of Rectangles
System of Equations
Formulas
Perimeter of a rectangle: P = 2 * (length + width)
Solving systems of equations
Theorems
No specific theorems, but involves solving a system of linear equations
Suitable Grade Level
Grades 8-10