The 3 by 3 grid below shows nine 1 cm×1 cm squares and uses 24 cm of wire. What length of wire is required for a similar 20 by 20 grid?
Answers
Given : The 3 by 3 grid below shows nine 1 cm x 1 cm squares and uses 24cm of wire.
To find : What length of wire is required for a similar 20 by 20 grid
Solution:
The 3 by 3 grid below shows nine 1 cm x 1 cm squares and uses 24cm of wire
24 cm of wire
is 3 (3 + 1) + 3(3 + 1) ( refer figure)
= 3 * 4 + 3 * 4
= 12 + 12
= 24 cm
length of wire is required for a similar 20 by 20 grid
= 20(20 + 1) + 20(20 + 1)
= 20 * 21 + 20 * 21
= 420 + 420
= 840 cm
840 cm Length of wire is required for a similar 20 by 20 grid
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