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

the heliocentric theory is best described as a theory that identifies the sun as the center of the universe, with planets revolving around it identifies the ear
Are all infinite sets equal?
demarco wrote two correct variable expressions to represent the phrase “the product of a number and 7”. which variable expressions could demarco have written? s
what is the slope of the line x = −5? a) undefined b) 0 c) -5 d) 5
Nate solves the equation 3 times 5 equals 15. Explain why nate's method works
convert 7.9×10^7 cm into miles
A certain virus infects one in every 200 people. If a person tests positive, what is the probability that the person is infected?
Which has the same relationship as circle:cylinder? Triangle:sphere, square:window, rectangle:box, pentagon:counter
a car travels 100 meters in 5 seconds. what is the speed of the car? speed = distance over time; 1 mile = 1609 meters 8.9 miles per hour 16 miles per hour 20 mi
What s 5346 x 7256 =