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yarga [219]
3 years ago
12

A vacant city lot is being turned into a neighborhood garden. The neighbors want to fence in a triangular section of the lot and

plant flowers there. The longest side of the triangle section is 8 feet shorter than twice the shortest side. The third side is 2 feet longer than the shortest side. The perimeter is 58 feet. How long is each side?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Step-by-step explanation:

=>>. Hello mate. (◕ᴗ◕✿)

= Given :-

perimeter of traingle = <u>5</u><u>8</u><u> </u>feet

  • <u> </u><u>let </u><u>the </u><u>third</u><u> </u><u>side </u><u>be</u><u>. </u><u> </u><u> </u><u> </u><u>"</u><u>X"</u><u> </u><u>feet</u>

  • <u> </u><u> </u><u> </u><u> </u><u> </u><u>longest</u><u> </u><u>side </u><u>=</u><u> </u><u>(</u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>8</u><u>)</u><u> </u><u>feet</u>

  • <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>shorter</u><u> </u><u>side </u><u>=</u><u> </u><u>(</u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u> </u>feet

Perimeter of traingle = sum of all three sides

=> A/q. ,

<u>(</u><u> </u><u>x </u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>8</u><u> </u><u>)</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>x </u><u>+</u><u> </u><u>2</u><u>)</u><u> </u><u>=</u><u> </u><u>5</u><u>8</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>✓</u><u>✓</u><u>✓</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x + 2x - 8 + x + 2 = 58

=>. <u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>6</u><u> </u><u>=</u><u> </u><u>5</u><u>8</u>

=> 4x = 58 + 6

=> 4x = 64

<u>=</u><u>></u><u>. </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x </u><u>=</u><u> </u><u>6</u><u>4</u><u>/</u><u>4</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>=</u><u>|</u><u>. </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>6</u><u> </u>feet

  • length of third side = 16 feet

  • length of shorter side = 18 feet

  • length of longest side = 24 feet

<u> </u><u> </u><u> </u><em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u> you</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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