Question

The lengths of the four sides of a quadrilateral (in centimeters) are consecutive even integers. If the perimeter is 100 centimeters, find the value of the longest of the four side lengths.

Answer 1

Answer:

Value of the longest of the four side lengths is 28 cm

Step-by-step explanation:

Let the lengths of the 4 sides be (2x), (2x+2), (2x+4) and (2x+6)

Perimeter = Sum of all sides

=> 100 = 2x + 2x + 2 + 2x + 4 + 2x + 6

=> 100 = 8x + 12

=> 8x = 88

=> x = 11

∴ Value of the longest of the four side lengths = 2x + 6

= 2(11) + 6

= 22 + 6

= 28 cm

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Answer 2

Answer:

28

Step-by-step explanation:

22+24+26+28=100

Hope this helps!