Question

Ghage is making a triangular flag. The length of the flag must be twice as long as the base of the flag plus 3 more inches for a border.
A) represent the length of the flag in terms of width
B) write a formula for the area of the flag in terms of the base
C) how large should the width of the flag be for the area of the flag to be 44 square inches?
@jim_thompson5910

Answer 1

So the flag looks like this?

Answer 2

im assuming

Answer 3

length must be b*2+3

Answer 4

oh they don't show a pic of the flag?

Answer 5

no :(

Answer 6

hmm let me think

Answer 7

assumingly more like that

Answer 8

because the base is the bottom, and it would be shortest

Answer 9

yeah it could look like this



hmm idk about this one

Answer 10

that would work also

Answer 11

because the base is still shortest

Answer 12

if this was a rectangular flag, it would be much easier. Are you sure it says "triangular" ?

Answer 13

im sure

Answer 14

ok maybe this might work

b = base

"The length of the flag must be twice as long as the base of the flag plus 3 more inches for a border."

L = 2b+3

where L is like the height of the triangle

then you use

A = (base*height)/2

to find the area of the triangle

Answer 15

I wish your book had a picture of this

Answer 16

I wish it did too, but it doesnt :(

Answer 17

ok so we have the formulas, now what?

Answer 18

well if I'm thinking correctly, then we'd have

A = (base*height)/2
A = (b*L)/2
A = (b*(2b+3))/2
A = (2b^2+3b)/2

Answer 19

hmm im a little lost but continue

Answer 20

A) represent the length of the flag in terms of width
that's `L = 2b+3` (I think)

B) write a formula for the area of the flag in terms of the base
From the work above, I get `A = (2b^2+3b)/2`

C) how large should the width of the flag be for the area of the flag to be 44 square inches?
From part B), plug in A = 44 and solve for b

Answer 21

I plugged in the base b and the height L = 2b+3 into the triangle area formula. Then distributed

Answer 22

ok but what should i make the length? like how long should it be?

Answer 23

I'm thinking it should be `L = 2b+3` based on where it says `The length of the flag must be twice as long as the base of the flag plus 3 more inches for a border.`

Answer 24

ok wait we just need a formula and not the actual length?

Answer 25

I think they just want an algebraic expression

Answer 26

are you sure?

Answer 27

it asks how long should the width be if the area is 44

Answer 28

no, I'm not. This problem is very strange to me

Answer 29

they mention a base and length, then they mention a width

Answer 30

me too. should we tag someone to help us?

Answer 31

a picture would clear up all confusion, but it's not there

Answer 32

sure, you can ask for a second opinion

Answer 33

"represent the length in terms of width"

Answer 34

i dont know who to ask

Answer 35

anyone at the top of the list might know

Answer 36

@jaeuni @studygurl14 @shelbygt520