Answer:
30 m
Step-by-step explanation:
The perimeter is twice the sum of the side lengths.
The perimeter of the smaller rectangle is ...
P1 = 2((x+1) +x) = 4x +2
The perimeter of the larger rectangle is ...
P2 = 2((3x -1) +(4x -5)) = 14x -12
The given relation is ...
P2 = 2×P1 +2
14x -12 = 2(4x +2) +2
6x = 18 . . . . . . . . . . add 12-8x, simplify
x = 3
Then the perimeter of the larger rectangle is ...
P2 = 14(3) -12 = 30
The perimeter of the larger rectangle is 30 meters.
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Check
P1 = 4(3) +2 = 14
2(14) +2 = 28 +2 = 30 . . . . satisfies the relation between perimeters
