Answer:
20
Step-by-step explanation:
Let x be the first side.
Since x is 8 in. shorter than the second side, we know that we'd need to add 8 to x to get the length of the second side. So the second side is
x + 8
.
The third side is 4 times the length of the first side, so the third side is
4
x.
Perimeter is the sum of the sides, so:
(
x)+(x+8)+4x=6x+8 (The 6x+8 is just combining like terms from the left side)
We also know the perimeter is 38, so we have:
6
x
+8
=
38
subtract 8:
6
x=30
divide:
x
=5.
The three sides have length: 5,13 , and 20.
The longest side is 20 inches long.
