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

Answer:

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

Step-by-step 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

$x+2x+x+3+x+3=41\\5x+6 =41\\5x= 41-6\\5x=35\\x = \frac{35}{5}=7$

Shortest side = $7\ in$

Longest side = $2x= 2\times 7= 14 \ in$

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