Factoring Applications

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)
• (2x + 9)(x + 5)
• (2x - 5)(x - 9)
• (2x - 5)(x + 9)

If a closet has length of
(x + 2) ft and width of
(3x - 7) ft, what is the area of the closet?

• 3x² + x - 14
• 3x² - 13x - 14
• 3x² - x - 14
• 3x² +13x - 14

Tags

CCSS.HSA.APR.A.1

A rectangle has an area of 4x² +19x + 12 and a length of (x + 4). What is the width?

• 4x - 3
• 4x + 3
• 2x + 6
• 2x + 3

Tags

CCSS.HSA.APR.D.6

A rectangular garden has an area of 4x² - 64. What are the dimensions of the garden?
(Hint: Factor)

• (2x + 8) by (2x - 8)
• (2x + 8) by (2x + 8)
• (2x - 8) by (2x - 8)
• Prime

Find the width for a rectangle that has an area of 2x² + 6x – 8 and length of 2x – 2

• x + 4
• 2x² + 4x – 6
• x - 4
• x + 4 - 16/(2x-2)

Tags

CCSS.HSA.APR.D.6

What is the perimeter for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

What is the area for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

Find the width for a rectangle that has an area of 2x² + 6x – 8 and length of 2x – 2

• x + 4
• 2x² + 4x – 6
• x - 4
• x + 4 - 16/(2x-2)

A square fountain has an area of  4x² + 36x + 81. What is the length of one side of the fountain?

• 9x + 2
• 9 - 2x
• 2x - 9
• 2x + 9

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?   (Hint: you need to factor with bridge method)

• (2x - 9) ft

  and (x - 5) ft

• (2x + 9) ft

  and (x + 5) ft

• (2x - 5) ft

  and (x - 9) ft

• (2x - 5) ft

  and (x + 9) ft