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 did the James town colony make money for the Virginia company
4. Numbers often contain meanings beyond the physical numbers. What numbers are important in this myth, and how do you think they are important?​
Which topic is often the focus of themes in young adult novels? A the value of wealth B the value of a career C the value of marriage D the value of friendship
What is the first step in isolating the variable x? X/Y - Z = W; for X
Simplify the expression: y9 * y-2
The goal of ________ is to inform and remind people in a target market about specific products, eventually persuading them to participate in an exchange. Group
Consider the following accounts (Click the icon to view the accounts.) Identify the financial statement (or statements) that each account would appear on. Use I
2x+2=-59 I need help I don’t know the answer
Simplify the expression: z8 * z-3
M is the midpoint of segment VW. Find the value of n.​