Garden Bed Equation And Inequality

  1. Scenario
    A friend has given you left-over landscaping bricks. You decide to make a garden bed and surround it with the bricks. There are 62 bricks, and each brick is 8 inches long. You would like the garden bed to be slightly more than twice as long as it is wide, as shown in the diagram below. You have also given yourself a budget of $125 for additional materials should you need them. Your local home improvement store sells the same bricks for $1.98 per brick. The displayed sides present the number of bricks on each side, where x is a number of bricks.

    Rectangle with one side equaling x and the other side equaling 2x+1
    this is 2x+1

    Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.
    Part 1: Write an equation representing the perimeter of the garden bed.
    Part 2: Calculate how many bricks are used on each side.
    Part 3: Determine the length of each side.
    Part 4: Write an inequality that represents how many bricks can be purchased within your budget.
    Part 5: Will you be able to make another complete layer of bricks on top and stay within your budget?

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