For this case we have that by definition, the area of a rectangle is given by:
![A = w * l](https://tex.z-dn.net/?f=A%20%3D%20w%20%2A%20l)
Where:
w: Is the width of the rectangle
l: is the length of the rectangle
Each of the girls has 24 feet of fencing, that is, the perimeter is ![P = 2w + 2l = 24.](https://tex.z-dn.net/?f=P%20%3D%202w%20%2B%202l%20%3D%2024.)
Amy:
![l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6](https://tex.z-dn.net/?f=l%20%3D%206%20%5C%20ft%5C%5C2w%20%2B%202%20%28l%29%20%3D%2024%5C%5C2w%20%2B%202%20%286%29%20%3D%2024%5C%5C2w%20%2B%2012%20%3D%2024%5C%5C2w%20%3D%2024-12%5C%5C2w%20%3D%2012%5C%5Cw%20%3D%206)
Thus, Amy's fence area is: ![A = 6 * 6 = 36 \ ft ^ 2](https://tex.z-dn.net/?f=A%20%3D%206%20%2A%206%20%3D%2036%20%5C%20ft%20%5E%202)
Zach:
![l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4](https://tex.z-dn.net/?f=l%20%3D%208%20%5C%20ft%5C%5C2w%20%2B%202l%20%3D%2024%5C%5C2w%20%2B%202%20%288%29%20%3D%2024%5C%5C2w%20%2B%2016%20%3D%2024%5C%5C2w%20%3D%2024-16%5C%5C2w%20%3D%208%5C%5Cw%20%3D%204)
Thus, the area of Zach's fence is:![A = 4 * 8 = 32 \ ft ^ 2](https://tex.z-dn.net/?f=A%20%3D%204%20%2A%208%20%3D%2032%20%5C%20ft%20%5E%202)
Answer:
Amy's garden has a greater area
, is
greater
Answer:
R=-13
Step-by-step explanation:
S=-1-r/5-2
4=-1-r/3
Cross multiply
4*3=-1-r
12=-1-r
Collect like terms
12+1=-r
-r=13
Divide both sides by -
r=-13
Most of the information's that are required for solving this question is already given in the question. It is important to check them minutely before trying to solve the problem in hand.
Amount of prize money won by the darts team = 1750 pounds
The amount of money that needs to be saved = 70 pounds
Then
Amount of money remaining after savings = (1750 - 70) pounds
= 1680 pounds
The number of team members in the darts team = 14
So
The amount of money
that each members of the darts team gets = 1680/14
= 70 pounds
From the above deduction we can easily conclude that each member of the darts teams will get an amount of 70 pounds.
Answer:
y-intercept is 30
Step-by-step explanation:
Given the model
comparing this model to the equation of a straight lines we can get the y- intercept
![y = 10x + 30\\\y= mx+c](https://tex.z-dn.net/?f=y%20%3D%2010x%20%2B%2030%5C%5C%5Cy%3D%20mx%2Bc)
The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.
Answer:
X is greater than or equal to -6
AKA (3)
Step-by-step explanation:
graph is labelled towards the positive
so X HAS to be greater
it's equal because the dot started at -6