Answer:
Step-by-step explanation:
The formula for the area of a rectangle is [tex]area=w*l[/tex] , where w is the width of the rectangle and l is the length of the rectangle.
The question tells us that the length is four times it width. This means that [tex]l=4w[/tex] . Since we are given the length, 4w, and the area, 256, we can plug in these values into our formula for area of a rectangle and solve for the width:
[tex]256=w*4w[/tex]
[tex]w^2=\frac{256}{4}[/tex]
[tex]w=\sqrt{64} =8[/tex]
The width of the rectangle is 8 centimeters.
Now that we have the width of the rectangle, we can plug that value into our original equation again to solve for the width:
[tex]256 = 8 * l[/tex]
[tex]l=32[/tex]
The length of the rectangle is 32 centimeters.
