A homeowner wants to fence her rectangular backyard. The yard is 55ft by 82ft. If fencing costs $6 per foot, how much will it cost to fence the yard?
Question
A homeowner wants to fence her rectangular backyard. The yard is 55ft by 82ft. If fencing costs $6 per foot, how much will it cost to fence the yard?
Solution
Step 1: Calculate the perimeter of the rectangular yard. The formula for the perimeter of a rectangle is 2*(length + width).
Step 2: Substitute the given values into the formula. The length of the yard is 82ft and the width is 55ft. So, the perimeter is 2*(82ft + 55ft) = 2*137ft = 274ft.
Step 3: Now, calculate the total cost of fencing. The cost of fencing is given as $6 per foot. So, the total cost will be the perimeter of the yard times the cost per foot.
Step 4: Substitute the values into the formula. The total cost = 274ft * 1644.
So, it will cost $1644 to fence the yard.
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