celinenguyen010108 celinenguyen010108
  • 04-06-2021
  • Mathematics
contestada

The area of a rectangle is represented by 12n^2 - 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
pls help!!!

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 04-06-2021

Answer:

C 14n - 8

Step-by-step explanation:

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

width = 3n - 7

so, what do we need to multiply with width to get the expression of the area ?

4n + 3

(because we think, what do we need to multiply 3n with to get 12n², and what to multiply -7 to get -21)

control : (3n-7)×(4n+3) = 12n²-28n+9n-21 = 12n²-19n-21

perimeter is now 2× length + 2× width

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

Answer Link

Otras preguntas

How to do all these please help
A runner starts slowing down as she gets tired. At 10 seconds, she 8m/a, and slows down to 2m/a at 13 seconds. What is her acceleration.
Identify the following. Life on the ranch. fragment, simple sentence or complex sentence
was a priest a noble in the middle ages?
How is the underlined gerund used in the sentence? Her hobby in the springtime is gardening.
Choose the correct 1 equivalent for nosotros somos. A. you are B. he is C. we are D. they are
Which Cabinet position was added after 1950? A. Secretary of Agriculture B. Secretary of 6 and Human Services C. Secretary of Commerce D. Secretary of Labor
Convert to a decimal: 0.52%
What happens when lakes are acidified? A. fish flourish B. fish die C. water ecosystem goes unchanged
The continents began to drift apart by the end of the _______ period. A. Permian B. Neogene C. Cambrian D. Cretaceous