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apply your knowledge of factoring and the zero product property to find the width and length of a garden patio that has an area of 130 ft2, if the length of the patio is 3 ft more than the width. (show work)

Given is :

The area of the rectangular patio is = 130 square feet

Let the width of the patio be = x feet

As length is 3 feet more than the width, so the length is = x+3 feet

Now area of rectangle is = length * width

This gives either x-10=0 or x+13=0

x-10=0 ; x=10

x+13=0 ; x=-13 (neglect this negative value)

So, the width of the patio is = 10 feet

Length = 10+3 = 13 feet

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step-by-step explanation: