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A patio in the shape of a rectangle, is fenced on all sides with 134 feet of fencing. The patio is 5 feet less wide than it is long.

User WolfLink
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1 Answer

6 votes

For this case, what we must do is find the dimensions of the patio.

For this, we use the following perimeter equation:


image

Where,

w: width of the patio

l: length of the patio

Substituting values we have:


image

Then, on the other hand, we know that:

The patio is 5 feet less wide than it is long:


image

We then have the following equations:


image

Solving by substitution we have:


image


image

Then, the width is:


image

Answer:

The dimensions of the patio are given by:


image

User Gionata
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7.1k points