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?
2 answers:
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
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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