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Question


What is the area of the closed figure drawn by Rakshit on the sheet with grids of 1 sq mm each? (Consider more than half as 1 sq mm, less than half as 0 sq mm and half as half sq mm).

A
25 sq mm
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B
28 sq mm
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C
29.5 sq mm
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D
26.5 sq mm
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Solution

The correct option is D 26.5 sq mm
Given
Area of each grid/square = 1 sq mmIn the figure above,
Number of complete squares occupied = 17
Number of more than half square occupied = 8
Number of exactly half sqaure occupied = 3
Number of less than half square occupied = 11

So, area of the figure above
=17×1+8×1+3×12+11×0=17+8+1.5+0=26.5 sq mm

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