SOLUTION: 1. If the lenght of a rectangle is doubled, does the area double? Why or why not? 2. If the height and the base of a triangle are doubled, what happens to the area? Explain.

Algebra ->  Equations -> SOLUTION: 1. If the lenght of a rectangle is doubled, does the area double? Why or why not? 2. If the height and the base of a triangle are doubled, what happens to the area? Explain.      Log On


   

Question 135725: 1. If the lenght of a rectangle is doubled, does the area double? Why or why not?
2. If the height and the base of a triangle are doubled, what happens to the area? Explain.
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Area of a rectangle = Length* Width or A=LW
1.
Let A1=LW (original rectangle)
And A2=(2L)W (now we have doubled the length)
A2=2LW But notice that LW =A1, so:
A2=2A1 ---------------------answer, it doubles!!
2. Same approach
Area of triangle=(1/2)Base*Height or A=(1/2)BH
A1=(1/2)BH (original triangle)
A2=(1/2)(2B)(2H) (now we have doubled the base and height)
A2=(1/2)(4)(BH) or 2BH But notice that BH =2A1, so:
A2=(2)(2A1) or 4A1 -----answer, it gets 4 times larger!!!!!!
CK
Triangle:
Let B=2
H=4
A=(1/2)*8=4
Let B=4
H=8
A=(1/2)*32=16 which is 4*4
Hope this helps---ptaylor