The 3 by 3 grid below shows nine 1 cm x 1 cm squares and uses 24cm of wire. What length of wire is required for a similar 20 by 20 grid?
Answers
The length of the wire required for a similar 20 by 20 grid is 840 cm
Step-by-step explanation:
There are 9, 1 cm × 1 cm squares forming 3 × 3 grid
Therefore, in 20 by 20 grid there will be 20 × 20 = 400 1 cm by 1 cm squares
The length of wire required in 3 x 3 grid is
3(3+1) + 3(3+1)
= 3 × 4 + 3 × 4
= 24 cm
The length of the wire required in 20 by 20 grid
= 20(20+1) + 20(20+1)
= 20 × 21 + 20 × 21
= 420 + 420
= 840 cm
Hope this answer is helpful.
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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)
= 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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