Polynomials with Area, Perimeter and Volume

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

The area of a rectangle is length x width.

The shaded region is outside - inside rectangle.

• 2x² + 2x + 13

• 10x + 5

• 10x + 13

• 2x² + 13

Find the AREA of the shaded region. The area of a rectangle is length x width. The shaded region is outside - inside rectangle.

• 2x²-x

• 6x²+3x

• 4x²-4x

• 2x²+7x

The total area of the playground, the larger rectangle, is 
16x² − 5x + 2. The area of the play area, the smaller rectangle, is 10x² + 3x − 1. Write an expression to represent the area of the sidewalk.

The shaded region is outside - inside rectangle.

• 6x² − 8x + 3

• 16x² − 8x + 3

• 16x² − 2x + 1

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

The area of a rectangle is length x width.

• 3x²+16x-5

• 3x²-14x+5

• 3x²-14x-5

Choose the correct answer below.

The area of a rectangle is length x width.

The shaded region is outside - inside rectangle.

What is the perimeter of the backyard?

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

^{Hint: (Add the two sides together then subtract them from the perimeter)}

^{Perimeter - (sum of two sides)}

• 6x+10

• 15x+30

• 5x+10

• 5x-10

Choose the correct answer below. Perimeter= add all sides together

Choose the correct answer below.

^{Hint: (Add the two sides together then subtract them from the perimeter)}

^{Perimeter - (sum of two sides)}

Find the volume of the rectangular prism with length ( x + 2) width ( x - 4) and height ( 2x + 1).  

• x² -8x

• x² -2x -8

• 2x³-3x² -18x-8

• 2x³ -8