Problem Solving Quadratic

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

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

•  length = 26 yd, width = 21 yd
• length = 21 yd, width = 26 yd 
• length = 21 yd, width = 16 yd 
• length = 16 yd, width = 21 yd

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? 

• 10
• -5
• 5
• -10

#1) 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

#5) The rec center has a rectangular pool that has an area of 500 square feet.  The width is 5 times the length.  What is the length of the pool?

• 50
• 10
• 20
• 25

• ±81
• ±9
• ±3
• No real solution

• -2, 4
• -8
• ±8
• No real solution

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? 

• 10
• -5
• 5
• -10

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2