Geometric Applications of simplifying and solving

Write and simplify an expression to represent the perimeter of a rectangle with a width of 2x - 4 and a length of 4x + 11

• 6x + 7

• 2x + 15

• 12x + 14

• 12x + 30

Write a simplified expression to represent the perimeter of a square with side lengths 3x + 7

• 3x + 7

• 40x

• 6x + 14

• 12x + 28

A triangle has a perimeter of 50 inches. The sides are

2x + 3, x + 1, and 2x - 4. Find the length of each side.

• 10, 15, 25

• 11, 16, 23

• 13.5, 21, 28

• All sides are 12.5

A rectangle with a

width of 3x - 4 and a

length of 5x + 1 has a perimeter of 26 inches. What is the value of x?

• 2

• 3.125

• 9

• 4

A square has a perimeter of

4x + 28. What is the length of each side?

• 32

• 8

• x + 7

• 2x + 14

A triangle with a height of 2x + 7 has an area of 6x + 21. What is the length of the base?

• 3x + 3

• 3

• 6

• 12

A triangle with a perimeter of 30 cm has side lengths

x + 1 , 3x , and 2x + 5

What is the value of x?

• 6

• 4

• 4.8

• 2.5