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anonymous

  • 5 years ago

TWO TIMES THE BASE OF A PARALLELOGRAM IS EQUAL TO 3 TIMES THE SIDE. THE PARALLELOGRAM HAS A PERIMETER OF 800. WHAT IS ITS BASE? AND SIDE?

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  1. anonymous
    • 5 years ago
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    If b is the base and s the side, you're told,\[2b=3s\]You also know that \[2b+2s=800\]You have two linearly independent equations in two unknowns - you can solve this system. Since the first equation gives 2b=3s, you can write for the second equation,\[2b+2s=3s+2s=800 \rightarrow 5s=800\]Therefore\[s=160\]Substitute this into the any one of the two original equations to get for the base,\[2b=3 \times 160 \rightarrow b=240\]

  2. anonymous
    • 5 years ago
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    CAN YOU PLEASE HELP WITH MY OTHER QUESTIONS

  3. anonymous
    • 5 years ago
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    Haven't other people answered them?

  4. anonymous
    • 5 years ago
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    NOT QUITE WELL

  5. anonymous
    • 5 years ago
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    Is it just the four questions in capitals?

  6. anonymous
    • 5 years ago
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    YES

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