Question

Bruce wants to install a fence all the way around his rectangular back yard, which is 75 1/2 feet long and 65 feet wide. How many feet of fencing does he need?

Answer 1

Explanation:

The perimeter of the rectangular yard is given by the formula P = 2l + 2w, where l is the length and w is the width.

We have l = 75 1/2 feet and w = 65 feet.

First, we need to convert the mixed number 75 1/2 to an improper fraction:

75 1/2 = (75 × 2 + 1)/2 = 151/2

So, we have:

P = 2(151/2) + 2(65)

P = 303/2 + 130

P = 563/2

To simplify the answer, we can convert the mixed number back to a mixed number:

P = 281 1/2 feet

Therefore, Bruce needs 281 1/2 feet of fencing to install around his rectangular back yard.

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