Area With Quadratics

Which option shows what quadratics in standard form look like?

Use Zero Product Property to solve

x² + 2x - 15 = 0

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

Answer explanation

Organize terms from highest exponent to lowest exponent.

(constant terms have an exponent of zero!)

What is the equation to find the AREA of a rectangle or square?

• Area = length + length

• Area = length + width

• Area = 2(length + width)

• Area = length x width

A square has a side length of (6x - 2y) inches. What is the area of the square?

• 12x² - 4y²

• 36x² - 24xy + 4y²

• 36x² + 24xy + 4y²

• 36x² - 4y²

A rectangle has width (2x + 3) and length (2x - 4).  What is the AREA of the rectangle?

(Show work on paper and turn in)

The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

• Length = 6, Width = 12
• Length = 18, Width = 4
• Length = 12, Width = 6
• Length = 4, Width = 6