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

Show the math work for $132 divided by $5.50
If x/9=1 ,how do you know what x is? Explain
Identify the property shown. (7 • p) • 2k = 7 • (p • 2k) a. distributive b. associative c. commutative d. transitive help please
If 200 beads cost 48 dollars how much does 25 cost
another word for not perfect. having a defect
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of hours each person worked.
12/100 in simplest form
How do you write 8x-4=16 in a verbal sentence?
Bethany walks on the treadmill at least four times per week to maintain her cardiovascular health. Lately, she has been finding excuses not to exercise and is
Is it possible that there are even prime numbers gearter than 100