Question

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find the perimeter and the area of the figure.

Explanation:

Step1: Define grid unit length

Assume each grid square has side length $1$ unit.

Step2: Calculate perimeter

Count outer edges:
Top: $4$ units, Right: $5$ units, Bottom: $4$ units, Left: $4$ units, inner horizontal: $2$ units, inner vertical: $1$ unit
Total perimeter: $4+5+4+4+2+1 = 20$ units

Step3: Calculate area via grid count

Count full grid squares: $4\times4 + 2 = 18$ squares
Area = $18\times1^2 = 18$ square units

Answer:

Perimeter: $20$ units, Area: $18$ square units