Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
x=-8/3
Step-by-step explanation:
group like terms: -3x+-6x=-9x
add 2 to both sides: 2+22=24
divide both sides by -9: -9x/-9=24/-9
x=-8/3
Answer:
1,960
Step-by-step explanation:
35 times 56 = 1,960
35 is the base, to get the base you do length times width.
the height is 56. To get the volume do base (or length times width) times hight.
Hope that helps!
Answer:it’s the third one
Step-by-step explanation:
