Question

The perimeter of a quadrilateral​ (four-sided polygon) is 41 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 3 inches longer than the shortest side. Find the length of all four sides.

Answer 1

The length of all four sides of a quadrilateral are 7 inches, 14 inches, 10 inches, 10 inches

Explanation:

Let the shortest side be
`x`

As per given information longest side =
`2x`

and other 2 sides are equal in length but 3 more times that shortest side =
`3+x`

Perimeter of Quadrilateral = 41 inches given

But perimeter of quadrilateral = sum of all sides

`x+2x+x+3+x+3=41\\5x+6 =41\\5x= 41-6\\5x=35\\x = (35)/(5)=7`

Shortest side =
`7\ in`

Longest side =
`2x= 2* 7= 14 \ in`

Other 2 sides =
`3+x=3+7 = 10 \ in`