Finding Area of Rectangle Using Expressions

In the figure shown at right, which of the following expressions represents a process for finding the area of the shaded region?

• (3x)(6x + 2)

• (3x)(x + 4) – (6x + 2)(x)

• (3x)(6x + 2) + (x)(x + 4)

• (3x)(6x + 2) – (x)(x + 4)

The diagram above show the floor plan for a lawn. All dimensions are given in feet. Which expression represents the area of the lawn in square feet?

In the rectangle shown at right, a strip was cut off so that the remaining part is a square. What is the area of the original rectangle?

• 8x² + 6x

• 16x² + 8

• 16x² + 8x

• 16x²

Find the area of the shaded region.

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)

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

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)

Find the area of the rectangle.

• 8x² + 14x + 6

• 12x + 10

• 8x² + 6

• 6x² + 14x + 6

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

• 2x² + 2x + 13

• 10x + 5

• 10x + 13

• 2x² + 13