Answer:
Width 15 feet
Step-by-step explanation:
Use formula
[tex]A_{rectangle}=\text{Width}\cdot \text{Length}[/tex]
Let x feet be the width of the rectangle.
If the length of a rectangle is 4 times the width of the rectangle, then the length is 4x feet.
The area of the rectangle is 900 square feet, so
[tex]900=x\cdot 4x\\ \\900=4x^2\\ \\x^2=225\ [\text{Divided by 4}]\\ \\x=\pm 15[/tex]
The width cannot be negative, then x=15 feet and 4x=60 feet.