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mr_godi [17]
3 years ago
14

PLEASE HELP ME?! BRAINLIEST ANSWER PLUS EXTRA POINTS! The perimeter of a basketball court is 84 meters and he length is 6 meters

longer than twice the width. What are the length and width?
Mathematics
2 answers:
Marina86 [1]3 years ago
3 0

Answer:

I hope this helps you and you have an amazing day the answer

Width=12

Length=30

Step-by-step explanation:

L=2W+6 is

P=2L+2W

84=2(2W+6)+2W

84=4W+12+2W

84=6W+12

6W=84-12

6W=72

W=72/6

W=12 ans. for the width.

L=2*12+6=24+6=30 ans. for the length.

Proof:

84=2*30+2*12

84=60+24

84=84

aleksandr82 [10.1K]3 years ago
3 0

Perimeter = 84 ; Length = 2 w + 6 ; Width = w  

2 w + 2 [ 2 w + 6 ] = 84  

2 w + 4 w + 12 = 84  

6 w + 12 − 12 = 84 − 12  

6 w = 72  

6 w ∕ 6 = 72 ∕ 6  

w = 12  

Check :  

2 [ 12 ] + 2 [ 2 [ 12 ] + 6 ] = 84  

24 + 2 [ 24 + 6 ] = 84  

24 + 2 [ 30 ] = 84  

24 + 60 = 84  

84 = 84

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