I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'
In this case the question can be answered. If
x
is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4
x+3/4x+3/4x+4=24
10/4x=20
x=8
Then the shortest side is 6and the longest side is 10
$18.11 because 20.75/x=100/15 <span>(120.75/x)*x=(100/15)*x - </span>we multiply both sides of the equation by x <span>120.75=6.6666666666667*x - </span>we divide both sides of the equation by (6.6666666666667) to get x <span>120.75/6.6666666666667=x </span> <span>18.1125=x </span> <span>x=18.1125</span>