Question

Each side of a hexagon is 10 inches longer than the previous side. what is the length of the shortest side of this hexagon if its perimeter is 401 inches?

Answer 1

The length of the shortest side of the hexagon is; 41.833 inches

How to find the perimeter of a Polygon?

Let the length of the shortest side of the hexagon be x. Now, a hexagon has six sides and if the next side is 10 inches longer than the previous side, then the length of the six sides are;

x, x + 10, x + 20, x + 30, x + 40, x + 50

Perimeter is given as 401 inches. Thus;

x + x + 10 + x + 20 + x + 30 + x + 40 + x + 50 = 401

6x + 150 = 401

6x = 401 - 150

6x = 251

x = 251/6

x = 41.833 inches

Read more about Polygon Perimeter at; brainly.com/question/14490532

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