Question

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

Answer 1

An expression for the length is:

• 
  `l=16x`

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

`A=l* w`

`64xy\:=l* 4y\:`

`\:\:l=(64xy\:)/(4y\:\:)`

Divide the numbers: 64/4 = 16

`l=(16xy)/(y)`

Cancel the common factor: y

`l=16x`

Therefore, an expression for the length is:

• 
  `l=16x`