The biggest area a box can contain can be achieved by having the box be a square:<span><span>85<span>−−</span>√</span>≈9.21</span>As you can see, the largest pizza that can fit in such a box would be one with a diameter of 9.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
First, construct two equations.
Then, equal the two equations to each other like this -
x will be the years.
Type A. Type B
3x + 15 = 4x + 10
- 15. - 15
3x = 4x - 5
-4x. -4x
-x = -5
-x/-1 = -5/-1
x = 5
Check:
3(5) + 15 = 4(5) + 10
15 + 15 = 20 + 10
30 = 30
Therefore, the trees will be the same height in 5 years.
