Answer: The width is 12 feet shorter than the length.
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
[tex]A=lw[/tex]
Where "l" is the lenght and "w" is the width of the rectangle.
We know that lenght of Jennie's yard is 30 feet, the width is [tex](30-x)ft[/tex] and the area is 540 square feet. Then:
[tex]l=30\\w=(30-x)\\A=540[/tex]
Substitute these values into the formula and then solve for "x":
[tex]A=lw\\\\540=30(30-x)\\\\540=900-30x\\\\30x=900-540\\\\x=\frac{360}{30}\\\\x=12[/tex]
Therefore, the width is 12 feet shorter than the length.
