Question

The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?

Answer 1

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:

$A=lw$

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 $(30-x)ft$ and the area is 540 square feet. Then:

$l=30\\w=(30-x)\\A=540$

Substitute these values into the formula and then solve for "x":

$A=lw\\\\540=30(30-x)\\\\540=900-30x\\\\30x=900-540\\\\x=\frac{360}{30}\\\\x=12$

Therefore, the width is 12 feet shorter than the length.

Answer 2

Answer:

12

Step-by-step explanation: