Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
For this problem the work would look like this:

Multiply -2 to both sides to isolate w.

Notice that the sign flips! This is because anytime a negative numbers transfers to the other side of the inequality the inequality flips directions.

Now this should be the solution once solving.
The attached picture below shows the graph.
Hope this helps!
Answer:
The lines a and b are parallel
Step-by-step explanation:
When we will translate line a, then the new line b will be formed.
Now, as translation preserves orientation each point on line a will be equidistant from line b , thus holding the condition and satisfying the property of two parallel lines.
Hence, line a and line b are parallel to each other.
Answer:
This site is a joke!
Step-by-step explanation:
2(x - 5) = 110
2x - 10 = 110
Add 10 to both sides.
2x = 120
Divide by 2 on both sides.
x = 60