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    5 Star Lounger
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    Changing the area of a triangle

    A triangle is to be changed by increasing the length of the base by 40% and decreasing the length of its height by 40%.

    Will the new area be change and, if so, will it be increased or decreased and by how much?

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    Bronze Lounger Maudibe's Avatar
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    KW,

    How are things going out west?


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    5 Star Lounger
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    As usual, nice going, Maudibe.

    Everything is just great out here. Brief cold spell (according the locals) when we have a high in the high 60s and low in the mid-50s.
    I'm not suffering!! LOL The cold snap broke and it's back to 74 again.

    Is it getting colder in PA?
    Last edited by kweaver; 2013-10-31 at 17:21.

  4. #4
    Bronze Lounger Maudibe's Avatar
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    Low's in the 30's at night, high's in the 50's and 60's during the day. Old Mother Nature can't make up her mind!

    I here California's "2013 Fire Season" ends this Saturday. That should lower the temperature in your neck of the woods a few degrees.

  5. #5
    5 Star Lounger
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    No fires in my neck of the woods near the Pacific. I'm in La Jolla which is a tab outside of San Diego. Paradise.

  6. #6
    Star Lounger tgw7078's Avatar
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    Quote Originally Posted by kweaver View Post
    A triangle is to be changed by increasing the length of the base by 40% and decreasing the length of its height by 40%.

    Will the new area be change and, if so, will it be increased or decreased and by how much?
    I believe the new area will be decreased by 16%.

    Let A1 = Original area = 1/2(bh)
    Let A2 = New area = 1/2(b x 1.4)(h x 0.6)

    Note: 1.4 is a 40% increase in base and 0.6 represents a 40% decrease in height.

    New area = 1/2(0.84)(bh)

    Therefore, the new area is 84% of the original area, which represents a 16% reduction in area.
    Tom Wickerath
    Microsoft Access MVP
    4/1/2006 - 3/31/2012

  7. #7
    Bronze Lounger Maudibe's Avatar
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    Nicely done tqw! I used a similar method:

    puzzle.png

    Maud

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