Area and Perimeter - Factoring

What is the Area?

• $2x^2-3x-18$ sq, in.

• $2x^2+3x+18$ sq. in.

• $2x^2+9x-18$ sq. in.

• $2x^2-9x-18$ sq. in.

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

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

The area of a rectangular painting is  $2x^2+13x-7$ units.  Which of the following could be the dimensions of the painting? 
*Hint: Factor the trinomial*

•  $\left(2x+1\right)$  units by  $\left(2x+7\right)$  units

•  $\left(x-1\right)$  units by  $\left(x+14\right)$  units

•  $\left(x+1\right)$  units by  $\left(2x+7\right)$  units

•  $\left(2x-1\right)$  units by  $\left(x+7\right)$  units

If a rectangular field has a length of  $x+7$  and a width of  $4x-2$  ,  write an expression for the length of fencing to go around the outer edges.

•  $5x+5$  

•  $10x+10$  

• Why do we need fences?

•  $4x^2-14$  

Find the perimeter for a rectangle that has an area of 2x² + 6x – 8 and a side of 2x – 2.

(Hint: First find the other side)

• x + 4

• 6x + 4

• x - 4

• 3x + 2

A square has a side length of x + 4. What is the area of the square?

• x² + 16
• x² + 8x + 16
• 4x + 16
• x² - 8x + 16

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

The length of a rectangular garden is 10 yards more than its width. If the area of the garden is 600 square yards, find the length & width of the garden.

• The length is 30 & the width is 20

• The length is 20 & the width is -30

• The length is 60 & the width is 10

• The length is 24 & the width is 25

Find the area of a rectangle with length (x-5) and width (3x+1).

• 3x²+16x-5
• 3x²-14x+5
• 3x²-14x-5