Area and Perimeter Solving Using Algebraic Expressions

Find a simplified expression for the area of the shaded region.

• 2x² + 2x + 13
• 10x + 5
• 10x + 13
• 2x² + 13

Find the area of the shaded region:

• 66x³ + 12x²
• 80x² - 24x
• 66x³ + 40x² + 24x
• 66x³ + 92x² -24x

^{The perimeter of the
 triangle is 10x+20. Find the length of the missing side}

• 6x+10
• 15x+30
• 5x+10
• 5x-10

Tags

CCSS.3.MD.D.8

Find the area of the triangle that has a base of (p - 8) and a height of (2p - 16)
A = 1/2(bh)

• p ² − 16p − 64 
• p ² + 16p + 64 
• p ² − 16p − 8
• p ² − 16p + 64 

A triangle has a first side of length (x+8y) a second side of length (2x-4y) and a perimeter of 6x -3y. What is the measure of the third side? *Draw a picture!*

• 3x + 4y

• 3x - 7y

• 9x + y

• 3x + 7y

Tags

CCSS.3.MD.D.8

The area of a rectangular pool table is: x² + 14x +40.

What are the dimensions of the table?

• (x + 8)(x + 5)

• (x + 20)(x - 2)

• (x + 4)(x + 10)

• (x +14)(x + 40)

Which of the following is the correct set up for the Table method when multiply (x + 3) (2x - 4)   _{(click on the question to see the image in the background)}

• A
• B
• C
• D

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 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)

What is the width of this rectangle?

•  5x⁴ + 10x³
• x + 15x³
• x + 3
• x⁴ + 3x³

Tags

CCSS.HSA.APR.D.6