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antoniya [11.8K]
3 years ago
11

The perimeter of a rectangular pen is 136 meters. If the length is 5 meters more than twice the width, what are the dimensions o

f the pen?
Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer: width = 21, length = 47

<u>Step-by-step explanation:</u>

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 136

P = 2L + 2w

136 = 2(2w + 5) + 2w    <em>substituted the given values above</em>

136 = 4w + 10 + 2w       <em>distributed 2 on the right side</em>

136 = 6w + 10                <em>added like terms (4w and 2w)</em>

126 = 6w                       <em>subtracted 10 from both sides</em>

 21 = w                          <em>divided both sides by 6</em>

Length (L) = 2w + 5

                 = 2(21) + 5

                 = 42 + 5

                  = 47

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