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

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