3 years ago

The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the rectangle.

1 answer:

7 0

200

Let width = x
Let length = 2x
Let’s area = a

x+2x+x+2x=60

Combine the terms

6x = 60

Divide both sides by 6

x = 10

Width = 10
Length = 2*10 = 20

Area = 10*20 = 200

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Express the volume of the box as a<br>polynomial in the variable x

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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)

<h3>How to determine the volume?</h3>

The complete question is added as an attachment

From the attached image, we have:

Length = 12 - 2x

Width = 7 - 2x

Height = x

The volume is calculated as:

Volume = Length * Width * Height

Substitute the known values in the above equation

Volume = (12 - 2x) * (7 - 2x) * x

This gives

Volume = x(12 - 2x)(7 - 2x)

Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)