SOLUTION: Well my question is the length of a triangle is increased by 1 unti its width is decreased by 1 unit what happens to the area and perimeter. ___________ _-- what i have so far

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Question 732967: Well my question is the length of a triangle is increased by 1 unti its width is decreased by 1 unit what happens to the area and perimeter.
_____________--
what i have so far is i think that if you add one then subtract one the length and the width would stay the same like equivalent
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangles have 4 right angles, a length and width. The length is the measure of the longest side. In the units I chose, the length of that rectangle is 7 and the width is 4.
The perimeter is 7%2B4%2B7%2B4=22 of my units and
the area is 7%2A4=28 square units
In a rectangle, if you increase the length by 1 unit and decrease the width by 1 unit, the perimeter stays the same, and the area gets smaller.The change in area depends on the original dimensions.
If I increase length of my rectangle to 8 and decrease its width to 3,
perimeter=8%2B3%2B8%2B3=22 and area=8%2A3=24

Triangles do not have a "length" and "width".
You can choose one of the 3 sides as the base; set the triangle on that side; measure the length of the side called base, and measure the height perpendicular to that base. Someone may rotate the triangle and have a different base and height for the same triangle, like this:
There are 2 copies of the same triangle in that figure. A different side is chosen as base in each one, and the height is measured perpendicular to the chosen base.
If you increase the base by 1 unit and decrease the height by 1 unit, the perimeter and the area change in ways that depend on the original dimensions.
The triangles in my drawing have side lengths of 3, 4, and 5 of my units for that drawing.
For the top triangle I chose base=4 , height=3.
For the bottom triangle base=5 and height=2.1.
The perimeter of the triangle is 3%2B4%2B5=12.
The area is base%2Aheight%2F2 and can be calculated as 4%2A3%2F2=6 for the top triangle,
or 5%2A2.4%2F2=12 for the rotated version at the bottom.
If I increase each base by 1 unit and decrease the corresponding height by 1 unit, I get this:
The triangles are no longer the same triangle.
For the top triangle the side length are now 5, 2, and sqrt%2829%29=about+5.385.
The perimeter is about 5%2B2%2B5.385=12.385.
The area is 5%2A2%2F2=5.
The bottom triangle now has base=6 and height=1.4
The sides measure 6, about 4.087, and about 4.406.
The new perimeter is 6%2B4.087%2B4.406=14.493
The new area is 6%2A1.4%2F2=4.2