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)   (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 of my units and
the area is 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= and area=

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 , .
For the bottom triangle and .
The perimeter of the triangle is .
The area is and can be calculated as for the top triangle,
or 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 .
The perimeter is about .
The area is .
The bottom triangle now has and
The sides measure 6, about 4.087, and about 4.406.
The new perimeter is
The new area is

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