Changing the area of a triangle

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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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KW,

How are things going out west?

The area will decrease by 16%

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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?

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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.

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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.

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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.

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Nicely done tqw! I used a similar method:

35380-puzzle

Maud

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