Answer:
20/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 80 and 36 is 4
Divide both the numerator and denominator by the GCD
80 ÷ 4
36 ÷ 4
Reduced fraction: 20/9
Step-by-step explanation:
Arc length formula is
where x is radinas.
A semi circle has a radian measure of
The radius is half of the diameter, 12 so the radius is
So the arc length is
Area of semi circle is
where r is the radius.
The perimeter is:
P = 2x + 2y = 80
The area is:
A = x * y
The area as a function of a variable is:
A (x) = x * (40-x)
Rewriting we have:
A (x) = 40x-x ^ 2
We derive the function:
A '(x) = 40-2x
We equal zero and clear x:
40-2x = 0
2x = 40
x = 40/2
x = 20 feet
The other dimension is:
y = 40 - x
y = 40 - 20
y = 20 feet
The area will be:
A = x * y
A = 20 * 20
A = 400 feet ^ 2
Answer:
The dimensions are:
x = 20 feet
y = 20 feet
The area is:
A = 400 feet ^ 2
Answer:
look at the picture i sent please
Check picture for working out