celinenguyen010108 celinenguyen010108
  • 04-06-2021
  • Mathematics
contestada

The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 04-06-2021

Answer:

C 14n - 8

Step-by-step explanation:

rectangle area = length×width = 12n²-19n-21

width = 3n-7

what do we need to multiply with width to get the full area expression ?

think : what do we need to multiply with 3n to get 12n² (4n)?

and what to multiply with -7 to get -21 (3)?

=> length = 4n+3

perimeter is 2×length + 2×width

p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8

Answer Link

Otras preguntas

What is the percent of 2 and 3/8
"Who coined the term Ecosystem"
Jonah sets the table for breakfast and dinner every Monday Tuesday Wednesday and Friday. how many times does he set the table in six weeks?Make a table
What is the correct order of these events? A. Hawaii became the 50th state in the United States. B. The monarch abolished the old religion and the people were l
What was the the 6th president
Match each disease with a public health strategy for preventing it. A. Influenza 1 Education B. HIV 2 Vaccination C. Kidney failure 3 Organ donation
which of the following equations is an example of inverse variation between the variables x and y? A. y=x/3 B. y=3/x C. y= x+3 D. y= 3x
what is the place with a high altitude
what is the main idea of paragraph 8 in the trouble with television
What is the simplified form of the expression? 20y - 2(3y - 10) A. 14y - 20 B. 14y + 20 C. 26y - 20 D. 26y + 20