First set up an equation as your approach. I will use the equation x+4x=24 because that way you are saying that something pluse itself times 4 equals 24 which is what you want.
simplify the equation
5x=24
x=24/5
So you know onw piece will be 24/5 of a foot and the ither qould be that times 4 so 96/24 of a foot. In decimals it would be 4.8 and 19.2
The center after enlargement using scale factor is (4.5,0.5).
What is Scale factor ?
The ratio between the scale of an original thing and a new object that is a representation of it but is a different size is known as a scale factor (bigger or smaller). For instance, if a rectangle has sides of 2 cm and 4 cm, it can be made larger by multiplying each side by a certain number, in this case 2.
Here the given coordinate point is,
=> (x,y)=(3,1)
Now enlarging the coordinator using scale factor k
=> (x,y)= (kx,ky)
Now put k=2 then
=> (x,y)=(0.5*3, 0.5*1)
=>(x,y) = (4.5,0.5)
Hence the answer is (4.5,0.5).
To learn more about scale factor
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Answer:
x=6
Step-by-step explanation:

It has all angles measuring 60°