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Question
A rectangular portion is cut off from the rectangular sheet (fig. 1) as shown in fig. 2. Find the perimeter of the sheet in fig. 2.
A rectangular portion is cut off from the rectangular sheet (fig. 1) as shown in fig. 2. Find the perimeter of the sheet in fig. 2.
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Solution
The correct option is A 20 m
The perimeter of fig. 2 will be equal to the figure 1. The areas, on the other hand, will be different.
If we just consider the boundary of the sheet, it is easy to observe that the part of the sheet cut off decreases the area but boundary remains same as shown below.
Hence, the perimeter remains the same.
To calculate the perimeter,
P = [6 + 4 + (6 - 1.5) + (4 - 1) + 1.5 + 1] m
P = 2(6 + 4) m, which is 20 m, same as figure 1.
20 m
The perimeter of fig. 2 will be equal to the figure 1. The areas, on the other hand, will be different.
If we just consider the boundary of the sheet, it is easy to observe that the part of the sheet cut off decreases the area but boundary remains same as shown below.
Hence, the perimeter remains the same.
To calculate the perimeter,
P = [6 + 4 + (6 - 1.5) + (4 - 1) + 1.5 + 1] m
P = 2(6 + 4) m, which is 20 m, same as figure 1.
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