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Question
3
type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.
mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. what is the total length of fencing mark needs to surround all 4 gardens?
mark needs
feet of fencing
Step1: Calculate the perimeter of one rectangular garden
The formula for the perimeter of a rectangle is \(P = 2(l + w)\). Given \(l=9\frac{1}{4}=\frac{9\times4 + 1}{4}=\frac{37}{4}\) and \(w = 4\frac{1}{2}=\frac{4\times2+1}{2}=\frac{9}{2}\).
Step2: Calculate the total length of fencing for 4 gardens
Multiply the perimeter of one garden by 4. \(L = 4\times\frac{55}{2}\)
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