Question

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

Answer 1

Answer:

An expression for the length is:

• $l=16x$

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

$A=l\times w$

$64xy\:=l\times 4y\:$

$\:\:l=\frac{64xy\:}{4y\:\:}$

Divide the numbers: 64/4 = 16

$l=\frac{16xy}{y}$

Cancel the common factor: y

$l=16x$

Therefore, an expression for the length is:

• $l=16x$