Given Information:
Area of rectangle = 16 square feet
Required Information:
Least amount of material = ?
Answer:
x = 4 ft and y = 4 ft
Step-by-step explanation:
We know that a rectangle has area = xy and perimeter = 2x + 2y
We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.
So we have
xy = 16
y = 16/x
p = 2x + 2y
put the value of y into the equation of perimeter
p = 2x + 2(16/x)
p = 2x + 32/x
Take derivative with respect to x
d/dt (2x + 32/x)
2 - 32/x²
set the derivative equal to zero to minimize the perimeter
2 - 32/x² = 0
32/x² = 2
x² = 32/2
x² = 16
x = 
ft
put the value of x into equation xy = 16
(4)y = 16
y = 16/4
y = 4 ft
So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.
Verification:
xy = 16
4*4 = 16
16 = 16 (satisfied)
The answer is 16 cm approx.
Diameter= 2
=>2
=>2
=>15.997.......
=> 16 approx
Hope this helps you!!
Answer:
16m
Step-by-step explanation:
Separate the rectangle from the triangle. The area of the rectange is <u>10m</u>. We know this because <em>l x w</em> (2m x 5m).
Now for the triangle;
The area of a triangle is <em>b x h / 2. </em>We take the full height of the figure and subtract 5 from it giving us 3 which is our height for the triangle. We then see that 2m is on the bottom and we add that 2m to the two separate 1m giving us 4m in total.
Now that we have the base and height of the triangle we plug in giving us 6m. Finally we add both the areas; 10m + 6m = <u>16m</u>.
Here is what I got:(maybe wrong) 12*8*3 = 288, which is how big the box is. Then, you remove 1.5 inches from the height and get 10.5*8*3, which is 252. Subtract 252 from 288 to get the answer, 36.
Answer:
this is unclear, how much gas does it take every mile?
Step-by-step explanation:
