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The perimeter of a table is 24 feet the table is twice as long as it is wide what is the tables width?
Wiki User
∙ 12y ago
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.
Hilmar Zonneveld
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