Answer:
<u>The perimeter of the square is option E. 16√5 mm.</u>
<u>The area of the square is option A. 80 mm².</u>
Step-by-step explanation:
1. Let's calculate the perimeter of this square:
The perimeter of a square is the sum of its side 4 times, thus:
Perimeter = 4√5 + 4√5 + 4√5 + 4√5
<u>Perimeter = 16 √5</u>
<u>Perimeter = 4 * 4√5 = 16√5</u>
<u>The correct answer is option E. 16√5 mm</u>
2. Let's calculate the area of this square:
The area of a square is the length of its side squared, thus:
Area = (4√5)²
Area = 4√5 * 4√5
Area = (4 * 4 * √5 * √5)
Area = 16 * 5 = 80
<u>The correct answer is A. 80 mm²</u>
Preston has 19 games and Horatio has 30 games.
You can set this as a system of equations, set Preston as x and Horatio as y.
Both of the amounts add up to 49, so we can get the equation:
x+y=49
Since Horatio has 11 more games, we can get the equation:
y-x=11
If we add the x to the other side, the second equation becomes:
y=x+11
We can plug in the second equation into the first and get the equation:
x+11+x=49
with a little simplification, we get x (Preston) is equal to 19. If we add 11 to it, we get Horatio's amount: 30
Yes 45/45 = 1 +10 = 11
13 > 11
As you can see, this is a negative slope. It goes down three and over four, as seen on the x and y intercepts. The answer kind of pops out at you.