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

Question

asked Oct 5, 2022 220k views

1 Answer

Marekventur · Answer 1 · 2022-10-12T09:27:48+0000

Answer:

w = 15

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

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width

w = 3x

w = 3(5)

w = 15