Area and Perimeter Algebraic Expressions

Which of the following best represents the perimeter of the given polygon?

• 4x + 28

• 2x + 21

• 3x + 21

• 4x + 21

The perimeter of the rectangle ABCD is:

• 2x + 3

• 4x + 6

• 8x + 12

Which expression represents the perimeter of the triangle?

• 4x + 4y + 5

• 6xy + 7

• 6x + 2y + 5

• 10xy + x + 2y

Which of the following best represents the perimeter of the given polygon?

• w + 3

• 6w + 6

• 2 - 6w

• 6w + 2

Find the area of the rectangle.

2(​ x ) + 2(​ (a)   )

​ (b)   + ​ (c)   - ​ (d)  

​ (e)  

• 9x - 2

• 2x

• 18x

• 4

• 20x - 4

• 9x + 2

• 2 + x

• 11x

• 0

• 20x + 4

Answer explanation

To find the area of the rectangle, we use the formula for area, which is length times width. The expression simplifies to 9x - 2, which is one of the correct choices.

Find the area of the rectangle.

Mathematical Equivalence

ON

Which of the following algebraic expressions best represents the perimeter of the given polygon?

• 5x + 13

• 7x + 11

• 6x + 8

• 7x + 12

Write an expression in simplest form for the perimeter of the figure.

• (a) + (2a + 3) + (3a - 1)

• 5a + 2

• 6a + 2

• 7a

Which expression represents the perimeter?

• 3x + 3

• 4x + 3

• 4x + 6

• 6x + 6

Find the perimeter in simplest form:

• 6x + 11

• 6x² + 11

• 12x + 22

• 12x² + 22