The length of a rectangular pool is 5 meters less than twice the width. If the pool's perimeter is 104 meters, what is the width?
a) Write an equation to model the problem. Use x to represent the width of the pool.
b) Solve the equation to find the width of the pool. (Note: Include the units, in this case m).
perimeter = 2(length + width)
length = 2x - 5
104 = 2(2x - 5 + x)
52 = 3x - 5
57 = 3x
x = 19
Which means the width of the pool is 19m :)
We make an equation, x is the width and the length is y.
2x-5 = y, 2x + 2y = 104
This means that we can put y in that equation. 2x + 4x - 10 = 104, we add 10 to both sides and we get 6x = 114. x = 114/6 = 19
x = 19
Now we find y, 19x2 = 38. 38-5 = 33
y = 33
The width is 19 and the length is 33.
Please tell me if you have any questions!