The perimeter in this case is:
y + 2x = 5000
The area is:
A = x * y
We rewrite the area:
A = x * (5000-2x)
A = 5000x-2x ^ 2
We derive:
A '= 5000-4x
We equal zero and clear x:
0 = 5000-4x
4x = 5000
x = 5000/4
x = 1250
We look for the other dimension:
y = 5000-2x
y = 5000-2 (1250)
y = 5000-2500
y = 2500
Then, the area will be:
A = (2500) * (1250)
A = 3125000 m ^ 2
Answer:
The largest area that can be enclosed is:
A = 3125000 m ^ 2
Okay I just woke him crying and he
Answer:
1.5
Step-by-step explanation:
Because the triangle are similar, they possess a proportional relationship in which the one triangle's side length is dilated by a unknown factor (y) to make its corresponding counterpart. Using this knowledge we can make the following two equations
3y=7 & xy=x+2 y is the variable representing the dilation factor
y=7/3 find the value of y
x(7/3)=x+2 substitute the value y into the equation
7/3x =x+2 solve for x
4/3x =2
(3/4)(4/3x)=2(3/4) multiply by the reciprocal
x=1.5