A. Length - 100 ft Width - 50 ft is the measurement of Tony's backyard.
Albert's Perimeter = 2(l+w) = 2(40+20) = 2(60) = 120 ft.
Tony's Perimeter = 120 ft * 2.5 = 300 ft
Tony's length = 40 ft * 2.5 = 100 ft
Tony's widht = 20 ft * 2.5 = 50 ft
To check tony's perimeter:
P = 2(l + w) = 2 (100 + 50) = 2 (150) = 300 ft.
Answer:
Step-by-step explanation:
The area of a circle is given by 
where 
is the radius of the circle. The diameter is given as 
feet, so the radius of this circle is 
feet.
Plugging in our values, we get:
.
Answer to Problem 1: 5√3
Answer to Problem 2: 21√5
The smallest value it could be is 4 and the largest value it could be is 10.
The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side. Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.
If we take the unknown side and the smallest one we're given, we would have the inequality
n+4>7
Subtracting 4 from both sides we would have n>3. That means it would have to be the next integer up, which would be 4.
