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You can use these variables: w = width, l = length, p = perimeter.

Since the perimeter is the sum of all four sides, you have:

p = l + w + l + w

Which can also be written as:

p = 2l + 2w

p = 2(l + w)

Since this is equal to 24:

2(l + w) = 24

or:

l + w = 12

Since the length is twice the width, we can now replace "l" with "2w", and get:

2w + w = 12

or:

3w = 12

or:

w = 4 (SOLUTION)

Finally, since the length is twice the width:

l = 2w = 8

The final step is to do some checks: verify whether a width of 4 and a length of 8 satisfies the conditions of the problem.

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Q: The perimeter of a table is 24 feet the table is twice as long as it is wide what is the tables width?

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