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A rectangular dog pen has an area of 64xy square units. The width is 4y. Write an expression for the length.

Sagot :

absor201

Answer:

An expression for the length is:

  • [tex]l=16x[/tex]

Step-by-step explanation:

Given

Area of a rectangular dog pen = A = 64xy square units

Width = w = 4y

To determine

The length = l = ?

We know that the area of a rectangular object is

A = l × w

where w is the width and l is the length of the rectangle.

substituting w = 4y and A = 64xy in the equation

[tex]A=l\times w[/tex]

[tex]64xy\:=l\times 4y\:[/tex]

[tex]\:\:l=\frac{64xy\:}{4y\:\:}[/tex]

Divide the numbers: 64/4 = 16

[tex]l=\frac{16xy}{y}[/tex]

Cancel the common factor: y

[tex]l=16x[/tex]

Therefore, an expression for the length is:

  • [tex]l=16x[/tex]
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