Problem

7. Malcom needs to determine the perimeter of his backyard to install new fencing around his property. The backyard is the shape of a quadrilateral with opposite sides parallel and equal in length. The measure of one side of the yard is 18.288 meters. The measure of another side is 15.24 meters. What is the perimeter of the property?

Answer

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Answer

Final Answer: The perimeter of the property is \(\boxed{67.056}\) meters.

Steps

Step 1 :The problem states that the backyard is a quadrilateral with opposite sides parallel and equal in length. This means that the backyard is a parallelogram. In a parallelogram, opposite sides are equal.

Step 2 :Therefore, if one side is \(18.288\) meters, the opposite side is also \(18.288\) meters. Similarly, if another side is \(15.24\) meters, its opposite side is also \(15.24\) meters.

Step 3 :To find the perimeter of the parallelogram, we add up the lengths of all the sides: \(18.288 + 18.288 + 15.24 + 15.24\).

Step 4 :By calculating the above expression, we get the perimeter as \(67.056\) meters.

Step 5 :Final Answer: The perimeter of the property is \(\boxed{67.056}\) meters.

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