Question 1106553
<br>
Take note of the first thing the other tutor says in his response: "1 1/2 times longer" means 2 1/2 times as long....<br>
Then he set up the problem incorrectly by misinterpreting the given information.<br>
Here is the correct setup:<br>
(1) "One side of a triangle banner is 1 1/2 times longer than the second side..."  (i.e., 2.5 times as long)<br>
Let s be the second side; then the first side is 2.5s.<br>
(2) "...and 2 cm shorter than the third side"<br>
The third side is 2cm longer than the first, so the length of the third side is 2.5s+2.<br>
Then since the perimeter is 98cm,
{{{(2.5s)+s+(2.5s+2) = 98}}}<br>
Solve for s....