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Question

(a) Find the length of the boundary of square D.
(b) 8 squares of side 1 cm are cut out of the square D. Now it looks like shape E. What is the length of the boundary of shape E?


(c) The boundary of this is _____ + _____ + _____ + _____
Can we also say that the boundary is 4 × 1 cm?

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Solution

(a)
Length of each side of square D = 5 cm
Number of sides = 4
Length of the boundary of square D = 5 cm × 4
= 20 cm
(b)
Length of each side of the figure that forms the boundary of shape E = 1 cm
Number of sides = 36
Length of the boundary of shape E = 1 cm × 36
= 36 cm
(c)
The boundary of this is 1 cm + 1 cm + 1 cm + 1 cm
Now, 4 cm = 4 × 1 cm
Thus, we can say that the length of the boundary of the given square is 4 × 1 cm.

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