## Sum of Exterior Angles

Determine the sum of the exterior angles in any polygon.

## Same Area: Triangle & Square

Construct a triangle that always has the same area as a square.

## Rhombus and Circular Pool

Find a way to build the largest circular pool in a rhombus-shaped backyard.

## Triangle or Square

Dissect a triangle into four parts so that it can be rearranged into a square.

## Increasing Area

If the area of a rectangle increases, how much does its length and width increase?

## Folding Squares

Use the perimeter of a rectangle to determine the area of a square.

## Biggie Size It (Square)

If the area of a square increases by a certain amount, how long is an edge of the original square?

## Land Dispute

Help settle a dispute over land between Squaresville and Centerville.

## Constructing Squares

Can you construct a square that has twice the area of another square?

Given the ratio of a quadrilateral’s length to width, find the ratio of the area of a special shaded region to the area of the quadrilateral.

## Minimum Perimeters

Find the minimum perimeter for a rectangle with a given area.

## Penning for Pony

What are the dimensions of the largest rectangular pen Ted can make for his pony?

## Tripling Perimeter

Find the length and width of a rectangle.

## Rectangular Percents

Compare a rectangle’s area when its length and width are changed.

## Tri-Square Trios

Find pairs of triangular numbers whose sum is a square number.

## Almost a Square

What rectangle can you form that is close in shape to a square?

## Dividing Rectangles

Find the possible areas of a rectangle that is formed from a larger integral rectangle.

## Rectangle Squares

Given the perimeter of a rectangle, find its area.

## Water Stop

How far does Paul walk to get a drink of water?

## Transforming Triangle

What is the perimeter of a rectangle formed from an equilateral triangle?

## Two Squares

Explore the relationship between length and area.

## Isosceles Trapezoid

Investigate properties of an isosceles trapezoid.

## Double the Fun

Determine ways to double the dimensions of quadrilaterals.

Determine the largest area of a quadrilateral for a given perimeter.

Classify a quadrilateral by making measurements in a dynamic construction.

Explore properties of quadrilaterals constructed using the midpoints of the sides of given quadrilaterals.