Question

24. A 31″ x 31″ square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses
nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the
same distance from the neighbouring nails. How many nails does the carpenter use?; 24. A 31″ x 31″ square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses; nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the; same distance from the neighbouring nails. How many nails does the carpenter use?

Answer 1

Answer:

124

Step-by-step explanation:

This is a bit tricky question as corners nails are common as they are counted horizontally & vertically both sides.

32 Nails on each Side

Size is 31"  

it means each nail is at distance of  31" /(32-1)

= 31" /31

= 1"

total nails = 32 * 4 = 128  as 32 nails are each side

but corner nails are counted vertically & Horizontally both side

So from one corner 1 nails to be reduce

as there are 4 corners so 4 nails to be reduces

Nails used by carpenter = 128 - 4 = 124