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The perimeter of the rectangle below is 54 units. What is the value of x?

1 Answer

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Answer:

x has a value of 14.

Explanation:

In addition to the information provided in the question, we are also told that the rectangle has a length x+1 and a width x-4. This is all we need to know.

To work this out, we simply need to plug those numbers into the equation for the perimeter of a rectangle. That would be p = 2l + 2w, where p is perimeter, l is length, and w is width.

We know that the resulting area (p) is equal to 54 units. We are also given variable values for the length and width. With that we can simply plug them into that equation and solve it for x:


p = 2l + 2w


54 = 2(x + 1) + 2(x - 4)


54 = 2x + 2 + 2x - 4


54 = 4x - 2


56 = 4x


x = 56 / 4


x = 14

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