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nalin [4]
4 years ago
6

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?

Mathematics
2 answers:
professor190 [17]4 years ago
4 0

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.

Darya [45]4 years ago
3 0

Answer:

12

Step-by-step explanation:

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