Question

The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?\

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Answer 1

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers =  x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

Answer 2

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers =  x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

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