The perimeter of a quadrilateral (four-sides polygon) is 50 inches. the longest side is three times as long as the shortest side. the other two sides are equally long and are 4 inches longer than the shortest side. find the length of all four sides.

The side lengths of quadrilateral are 21 inches; 11 inches; 11 inches; 7 inches.

SOLUTION:

Given, the perimeter of a quadrilateral (four-side polygon) is 50 inches.  

Let the length of shortest side be n inches.  The longest side is three times as long as the shortest side.  

That is, length of largest side = 3n inches

The other two sides are equally long and are 4 inches longer than the shortest side.  

Then, length of remaining two sides = 4 + n inches  

We have to find the length of all four sides.

Now, we know that, perimeter = 50 inches  

So, length of sides will be,

345

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d