Question

the perimeter of a basketball court is 102 meters and the length is 6 meters longer than twice the width. what are the length and width?

Answer 1

which one are you in the pic

Answer 2

the girl. lol

Answer 3

perimeter is length+length+width+width

the length is 6, twice the width.
so 6=2 X ?

Answer 4

hmm so 2L X 2W=102?

Answer 5

Perimiter= 2(width) + 2(length)
102=2W+2L

The length is 6 meters more than twice the width
L=2W+6

Now put this value in for L
So...
2(2W+6) + 2W= 102
4W+12+2W=102
6W+12=102
6W=90
w=15
Now we know the width...

Length= 2W+6 (from before)
L= 2(15)+6
L=30+6
L=36

Check....
2L+2W=102
2(36)+2(15)=102
:)

Answer 6

length=6+2W
perimeter= 2L + 2W

so substitute our length formula in for L
and 102 in for perimeter
like so

102=2(6+2W) + 2W

which would give you?

Answer 7

i dont know why im still confused
so 2 x length and 2 x width =102.
and then u add 6 to width?

Answer 8

Yes, we want to get the equation into a form that only has one variable.
In this case, they give us the hint.

When they say "The length is 6 meters longer than twice the width"
We can write like this..
Length=6 meters longer then twice the width
L=6+2W

Now we have the length in terms of the width
and we can rewrite the equation all in terms of the width and therefore solve for it.

Once we know the width, we use the same piece of info to figure out the length (just plug the value of W and solve for L)

Hope that helps!!!