A rectangle has a width of 10 feet and a length of 40 feet. What is the length of the side of a square with the same area?
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Answer:
26.1miles
Step-by-step explanation:
If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.
If cities A and B are 14 miles apart, then |AB| = 14miles
Also if cities A and C are 22 miles apart, then |AC| = 22miles.
To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.
|BC|² = |AB|² + |AC|²
|BC|² = 14²+22²
|BC|² = 196+484
|BC|² = 680
|BC| = √680
|BC| = 26.1miles
This means that cities B and C are 26.1miles apart
Let x be the number of people that can be seated.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
which is the same as saying 
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get
Note: if you haven't learned about compound inequalities yet, then the teacher may only want as the answer.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
So putting the two inequalities together, we get
Note: if you haven't learned about compound inequalities yet, then the teacher may only want