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12 April, 22:21

What are the length of each side of a quadrilateral when the perimeter is 33 and the sides are:

A

A+5

A-3

2A+1

+5
Answers (1)
  1. 13 April, 02:06
    0
    A = 6

    So

    Side A = 6

    Side B = 11

    Side C = 3

    Side D = 13

    Explanation:

    To solve perimeter of a quadrilateral, you use this formula:

    side A + side B + side C + side D = total perimeter.

    If the four sides are A, A + 5, A - 3, and 2A + 1 then you need to solve for A.

    Write out an algebraic formula with these values:

    A + (A + 5) + (A - 3) + (2A + 1) = P

    You also know that the total perimeter is 33, so:

    A + (A + 5) + (A - 3) + (2A + 1) = 33

    You can add all the A values together to combine like terms like this:

    5A + 5 - 3 + 1 = 33

    Solve fore A:

    5A + 3 = 33

    5A = 33 - 3

    5A = 30

    A = 30 : 5

    A = 6

    Check your answer:

    A + (A + 5) + (A - 3) + (2A + 1) = 33

    (6) + ((6) + 5) + ((6) - 3) + (2 (6) + 1) = 33

    (6) + (11) + (3) + (13) = 33

    17 + 16 = 33

    33 = 33
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