Mathematics
In the adjoining figure, a square of side 1 cm is joined to a square of side 3 cm. The perimeter of the new figure is
13 cm
14 cm
15 cm
16 cm
Mensuration
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Answer
When the square of side 1 cm is joined to the square of side 3 cm, one side of the smaller square (1 cm) coincides with a part of one side of the bigger square.
Perimeter of bigger square = 4 × 3 = 12 cm
Perimeter of smaller square = 4 × 1 = 4 cm
When joined, the side of the smaller square (1 cm) is no longer on the boundary, and 1 cm of the side of the bigger square is also no longer on the boundary.
Perimeter of new figure = (Perimeter of bigger square - 1) + (Perimeter of smaller square - 1)
= (12 - 1) + (4 - 1)
= 11 + 3
= 14 cm
Hence, option 2 is the correct option.
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