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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).

 Mar 16, 2021
 #1
avatar+544 
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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 :)

 Mar 16, 2021
 #2
avatar+163 
+1

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!

 

🐺🐺🐺

 Mar 16, 2021

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