samonehouse06 samonehouse06

18-08-2020
Mathematics

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The perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. What is the length and width

Respuesta :

zarampa zarampa

23-08-2020

Answer:

length: 30 meters

width: 12 meters

Step-by-step explanation:

2(a+b) = 84

a = 2b + 6

a = length

b = width

then:

2((2b+6)+b) = 84

2b + 6 + b = 84/2

3b + 6 = 42

3b = 42 - 6

3b = 36

b = 36/3

b = 12

a = 2b + 6

a = 2*12 + 6

a = 24 + 6

a = 30

Check:

84 = 2(12+30)

84 = 2*42

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