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20 January, 18:35

The length of a rectangular sign is 5 times its width. If the sign's perimeter is 36 inches, what is the signs area in square inches

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Answers (2)
  1. 20 January, 18:48
    0
    Answer: The area is 45 square inches.

    Step-by-step explanation:

    so if we know that the the length is 5 times the width then we could represent the length as 5x and x for the width.

    And we know the perimeter of the sign so we could set up equation to solve for the side lengths.

    The perimeter of a rectangle is 2l + 2w which means 2 times the length plus two times the width.

    2 (5x) + 2 (x) = 36

    10x + 2x = 36

    12x = 36

    x = 3

    Now we know the value of x so we will plot it into the length and with to find the actually side lengths.

    length = 5 (3) = 15

    width = 3

    Check: 15 + 15 + 3 + 3 = 36

    Now we know the side lengths so to find the area we will have to multiply the length times the width.

    3 * 15 = 45
  2. 20 January, 18:50
    0
    9 inches
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