1. Lesson 3

1.4. Discover

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Discover


math lab
This image shows four rectangles that are coloured red, green, purple, and yellow.

Each of the rectangles in the image has something in common with the other rectangles. Can you guess what that is?

 

In this Math Lab activity you will confirm your hypothesis and discover an interesting aspect of design.

 

Problem

 

For a rectangle with constant perimeter, what dimensions of the rectangle will give you the maximum area?

 

Consider the problem; then write down a hypothesis.

 

Procedure

 

Use Rectangle Drawer to construct rectangles of different shapes.

 

 

This is a play button that opens "Rectangle Drawer."

 

Analysis

  1. What dimensions of a rectangle give you the maximum area?

  2. Assume that a rectangle has an area of 306 cm2. The perimeter of the rectangle is 70 cm. Determine the dimensions of the rectangle by

    1. using Rectangle Drawer

    2. solving a quadratic equation

course folder Save your work in your course folder.

 

Keep your answers to this Math Lab handy. You will revisit the ideas developed here later in the lesson.