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10-05-2021
Mathematics

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A rectangle has a length of 5x - 2 and a width of 3x. If the perimeter is 76, what is the width?

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Аноним Аноним

10-05-2021

Answer:

w = 15

Step-by-step explanation:

p = 2l + 2w

76 = 2(5x - 2) + 2(3x)

76 = (10x - 4) + (6x)

Combine like terms

76 = 16x - 4

add 4 to both sides

80 = 16x

Divide both sides by 16

5 = x

x = 5

-------------------------

width

w = 3x

w = 3(5)

w = 15

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