Answer:
(i) 17 = x + (3x -5) +(2x +1)
Step-by-step explanation:
(i) The perimeter is the sum of the lengths of the sides. We are given values for each of these quantities, so we can write that sum as ...
... 17 = x + (3x -5) + (2x +1)
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This can be simplified to various levels, clear down to a solution.
... 17 = (x +3x +2x) + (-5 +1) . . . . group like terms
... 17 = 6x -4 . . . . . . . . . . . . . . . . combine like terms
... 21 = 6x . . . . . . . add 4
... 21/6 = x = 3.5 . . . . . divide by the coefficient of x
Then, if you're interested in side lengths, they are (in units of cm) ...
- x = 3.5
- (3x -5) = 5.5
- (2x +1) = 8
