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The length of a rectangle is four times its width. The perimeter of the rectangle is at most 130 cm. Which inequality models the relationship between the width and the perimeter of the rectangle? 2w+2⋅(4w)>130 2w+2⋅(4w)≥130 2w+2⋅(4w)≤130 2w+2⋅(4w)<130

Respuesta :

gmany

The formula of a perimeter of rectangle:

P = 2(l + w)

We have l = 4w and P ≤ 130cm.

Therefore we have the inequality

2(4w + w) ≤ 130   use distributive property

2·(4w) + 2w ≤ 130

Answer: 2w+2⋅(4w)≤130

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