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Image of rectangleExamine the rectangle at right. Homework Help ✎

  1. Write an expression for the perimeter in terms of x.

    The perimeter is all of the sides added together, or 2l + 2w.

  2. Assuming the perimeter is 78 cm, determine the dimensions of the rectangle. Show all of your work.

    6x + 6 = 78
    6x = 72
    Solve for x and then substitute for the x in the expressions for the length and the width.

  3. Verify that the area of this rectangle is 360 sq. cm. Explain how you know this.

  • In part (b), You found x. Now find the length and width.
    The area is equal to the length times the width.