permiter of a rectangle equals 24 meters, with x as it's width, find the rate of change for area when x varies​

Respuesta :

Answer: 12-2x

Step-by-step explanation:

P=2L+2x

substitute P with 24:

24=2L +2x

solve for L:

L=12-x

Area=

A=L*x

so, 12-x *x= 12x-2x

and after differentiate it will be 12-2x

so the final answer is 12-2x