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pav-90 [236]
3 years ago
5

The perimeter of a rectangle is 44 m. The length is 4 m more than the twice the

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0

Step-by-step explanation:

perimeter is given by

p=2L +2W

but from the expression;The length is 4 m more than the twice the width

is written as L =4+2W

<em>putt</em><em>ing</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>formu</em><em>la</em>

<em>p</em><em>=</em><em> </em><em>2</em><em>(</em><em>4</em><em>+</em><em>2</em><em>W</em><em>)</em><em> </em><em>+</em><em>2</em><em>W</em>

<em>but</em><em> </em><em>peri</em><em>meter</em><em> </em><em>was</em><em> </em><em>gi</em><em>ven</em><em> </em><em>as</em><em> </em><em>4</em><em>4</em><em>m</em>

<em>4</em><em>4</em><em>=</em><em> </em><em>8</em><em>+</em><em>4</em><em>w</em><em>+</em><em>2</em><em>w</em>

<em>4</em><em>4</em><em>=</em><em>8</em><em>+</em><em>6</em><em>w</em>

<em>4</em><em>4</em><em>-</em><em>8</em><em>=</em><em>6</em><em>w</em>

<em>3</em><em>6</em><em>=</em><em>6</em><em>w</em>

<em>divi</em><em>ding</em><em> through</em><em> </em><em>by</em><em> </em><em>6</em>

<em>w</em><em>=</em><em>3</em><em>6</em><em>/</em><em>6</em>

<em>w</em><em>=</em><em>6</em><em>m</em><em> </em>

<em>thus</em><em>,</em><em> </em><em>the</em><em> </em><em>wi</em><em>d</em><em>th</em><em> </em><em>is</em><em> </em><em>6</em><em>m</em>

<em>put</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>exp</em><em>ression</em><em> </em><em>L</em><em> </em><em>=</em><em>4</em><em>+</em><em>2</em><em>W</em><em> </em><em>to</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>leng</em><em>th</em>

<em>L</em><em> </em><em>=</em><em>4</em><em>+</em><em>2</em><em>(</em><em>6</em><em>)</em>

<em>L</em><em>=</em><em>4</em><em>+</em><em>1</em><em>2</em>

<em>L</em><em>=</em><em>1</em><em>6</em><em>m</em>

<em>thus</em><em> </em><em>the</em><em> </em><em>length</em><em> </em><em>is</em><em> </em><em>1</em><em>6</em><em>m</em>

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