Answer:
A. 16 units
Explanation:
Given dimensions of the sides;
4x, 3x - 5 and 2x + 1
Perimeter = 32units
From these dimensions, we can simply conclude that this is a scalene triangle with unequal sides and angles.
To solve this problem, we are going to use the perimeter. The perimeter of a rectangle is the sum of its sides.
So;
4x + 3x-5 + 2x + 1 = 32
9x - 4 = 32
9x = 32 + 4
9x = 36
x = 4
Dimensions of the sides;
4x = 4 x 4 = 16units
3x - 5 = 3 x 4 - 5 = 7units
2x + 1 = 2(4) + 1 = 9units
So the longest side is 16units