Math Problem Statement
Quadrilateral ABCD has perimeter 60 cm and AB has length 9 cm. Sides AD and BC are parallel with distance 7 cm between them. Points E and F are chosen on sides BC and AD respectively so that the line EF divides ABCD into two quadrilaterals with equal perimeters and equal areas. What is the area of quadrilateral ABCD?
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Trapezoid
Area
Perimeter
Formulas
Perimeter of quadrilateral: AB + BC + CD + AD
Area of trapezoid: A = 1/2 × (sum of parallel sides) × height
Theorems
Trapezoid Area Theorem
Suitable Grade Level
Grades 9-11
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