Answer:
x inches = 46 inches
2x inches = 92 inches
(7x - 4) inches = 318 inches
Explanation:
The perimeter of the triangle is the sum of all three sides. Therefore,
x + 2x + (7x - 4) = 456 inches
10x - 4 = 456
10x = 460
x = 46 inches
Now, we find the other remaining sides.
2x inches = 2(46) inches = 92 inches
(7x - 4) inches = (7(46) - 4) inches = (322 - 4) inches = 318 inches
So, the final answer is
x inches = 46 inches
2x inches = 96 inches
(7x - 4) inches = 318 inches