Jessica wants to add a border around the edge of the solar panels to help protect them from weather events. Write the standard form expression that represents the amount of border material Jessica will need. Enter the correct answer in the box.
Answer (2)
Assume the solar panel is rectangular with length l and width w .
The perimeter of a rectangle is given by P = 2 l + 2 w .
The amount of border material needed is the perimeter of the solar panel.
The standard form expression for the amount of border material is 2 l + 2 w .
Explanation
Problem Analysis Let's analyze the problem. Jessica wants to add a border around solar panels, which we assume are rectangular. We need to find an expression for the amount of border material, which is the perimeter of the rectangle.
Perimeter Formula Let l represent the length and w represent the width of the rectangular solar panel. The perimeter P of a rectangle is given by the formula: P = 2 l + 2 w
Final Expression Therefore, the standard form expression that represents the amount of border material Jessica will need is 2 l + 2 w .
Examples
Imagine you're putting a fence around a rectangular garden. The expression 2 l + 2 w helps you calculate the total length of fencing you need, where l is the length and w is the width of your garden. This concept is useful in many real-life situations, such as framing a picture, building a border around a room, or calculating the amount of trim needed for a project.
Jessica can determine the amount of border material needed for her solar panels by calculating the perimeter. The formula she will use is 2 l + 2 w , where l is the length and w is the width of the panels. Therefore, the expression to find the required border material is 2 l + 2 w .
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