Answer:
Option C. 
Step-by-step explanation:
we know that
Triangles ADE and ABC are similar by AA similarity postulate
AB=2AD
Apply proportion

Find the length of segment DE

Answer:
vb hyjv bnhyn g
Step-by-step explanation:
Answer:
solution is x=3
Step-by-step explanation:

apply log property
log a- log b= log a/b

we have log on both sides
so we remove the log and make the arguments equal

solve for x, multiply whole equation by 3

now plug in 3 for x and check

solution is x=3
The answer is c because it makes the most sense
Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2