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anonymous

  • one year ago

A rectangle room is three times as long as it is wide and it perimeter is 56 m find the width of the room

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  1. anonymous
    • one year ago
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    \[3l=w \]

  2. anonymous
    • one year ago
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    l represents length and w represents width. Therefore, the length w is 3 times bigger than the length. The equation for perimeter is \[P=2l+2w\]

  3. anonymous
    • one year ago
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    Now just plug in the value for w in terms of l and it looks like this: \[P = 2l+2(3l)\]

  4. anonymous
    • one year ago
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    Now remember that the given perimeter was 56m so setting P = 56 m, you get: \[56 = 2l+6l\]

  5. anonymous
    • one year ago
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    now solve for l which is \[56 = 8l \rightarrow l=56/8\rightarrow 7\]

  6. anonymous
    • one year ago
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    you know that 3 times the length is the width, therefore, knowing the length, 3 times 7 is 21 and 21 is the width of the rectangle.

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