Question

The area of a triangle is 124 square units. What would its new area be if its base was half as long and its height was three times as long?

Answer 1

Alrighty. So let's plug in some numbers that'll give us 124.

Answer 2

This'll be our first step.
Now, let's cut our base in half, which would give us 31. Then, let's multiply our height by 3, which gives us 12.

Now let's plug in the new values. What is the new area? :)

Answer 3

A= 1/2 x 31 x 12 :)

Answer 4

okay I understand it somewhat. How am I supposed to write it out. I have this work pad thing and I have to show my work. But i'm still a bit confused

Answer 5

Where are you confused?

Answer 6

how are you getting 4 and 62

Answer 7

Just plugging in random values. :)

Answer 8

When you multiply 1/2 x 4 x 62, you get 124. You can use whatever values you want for base and height, though :)

Answer 9

Ohhh okay. So how would I write this down step by step??

Answer 10

Alright. I'd suggest writing down the area of a triangle formula.
Then have b=62 and h=4 :)
1/2 x 62 x 4=124

Answer 11

That'd be the first couple of steps :)

Answer 12

Let me know when you're ready to get the next couple of steps. :)

Answer 13

okay give me one second!

Answer 14

okay so the formula is A = hb/2 correct?

Answer 15

You could write it like that, yes :)

Answer 16

Okay, I'm ready for the next steps

Answer 17

62 divided by 2 (Cutting the base in half) = 31
4 x 3 (Height must be three times as long) = 12

Answer 18

1/2 x 31 x 12 = 186 sq. units :)

Answer 19

I hope that helps :)

Answer 20

This does help, thank you!
I did have a question about this though?

Answer 21

Go ahead :)

Answer 22

if we used different numbers would we still have the same answer...?

Answer 23

could you also help me out with some more questions please?

Answer 24

I believe so. I'll check, though.