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Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L
Area (A) = Length (L) · Width (W)
= (100 - W) · W
= 100W - W²
Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
0 = 100 - 2W
W = 50
refer to the equation above for L:
100 - W = L
100 - 50 = L
50 = L
Dimensions for the maximum Area are 50 ft x 50 ft
Answer:
m<U = 
Step-by-step explanation:
From the given question, it can be observed that angles U and W are supplementary. These are angles that add up to
.
So that;
<U + <W = 
(8x + 9) + (8x - 5) = 
16x + 4 = 
16x =
- 4
16 x = 176
x = 
= 
The measure of angle U = (8x + 9)
= 8(11) + 9
= 88 + 9
= 
Thus, the measure of angle U is
.