The answer would be B because I did this equation on a sheet of paper and I did the parentheses first which led me to my final answer B.
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
Answer:
x = 3
Step-by-step explanation:
To find the value of x. We have to use Exterior Angle Theorem.
It is says "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle."
In the given figure,
45x = 25x + (57 + x)
Now let's find the value of x.
First we need to isolate the variable terms
45x - 25x = 57 + x
20x - x = 57
19x = 57
x = 57/19
x = 3
The value of x = 3.
Thank you.
