Question

A triangle has the length of its height and base increased by 100%.
The new area of the triangle will be (ANS) times as large as the old area.
ANS = 4, but I don't understand why.
Thank you :)

Answer 1

so like a first step hope you know it sure formula for area of a triangle ,yes ?

Answer 2

Yes, I know it is hb/2 (heightxbase = hb)

Answer 3

When something is increased by 100% what is the relationship between the old value and the new?

Answer 4

Sorry, I don't really understand how I increase it by 100% nor know how to work out the new.

Answer 5

yes ,so than the height and the base will be increased by 100% how do you think that the area of triangle how much will be increased ?

Answer 6

Increased by 100% means times 2.

Answer 7

Oh! That makes sense now, thank you. In my mind, I can only get to 2b2h/2 and hb/2. I can't really work out why it is four still ^_^;;;

Answer 8

Old area = 0.5bh
New area = 0.5(2b)(2h)

New area = 4*Old area

Answer 9

Oh, that makes so much more sense now. Thank you so much skullpatrol and jhonyy :)

Answer 10

Thanks for asking :)