5
Part of 2006 AMC 10
Problems(2)
Anchovy pizza
Source: AMC 12 2006A, Problem 5
2/5/2006
Doug and Dave shared a pizza with equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was , and there was an additional cost of for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?
AMC
Rectangles and squares
Source: AMC 10 2006B Problem 5
2/17/2006
A 2 x 3 rectangle and a 3 x 4 rectangle are contained within a square without overlapping at any interior point, and the sides of the square are parallel to the sides of the two given rectangles. What is the smallest possible area of the square?
geometryrectangleAMC