Problem Solving with Quadratics

Problem Solving Guide:

Problem

A rectangle has length 3 cm longer than its width. Its area is 42cm². Find its width.

Problem

Is it possible to bend a 12cm length of wireto form the shorter sides of a right-angled triangle with area of 20cm²?

Solve the following problems.

The number of diagonals of an n-sided polygon is given by the formula A polygon has 90 diagonals. How many sides does it have?

32

nn

D

Formula

Use the Pythagorean theorem to solve the following problems:

Solve (page 307)