Question

A piece of paper is cut in half. Each half is again cut in half. If this process is repeated 10 times, what will be the area of each piece of paper?

Answer 1

Step-by-step explanation:

first time = 2 pieces

second time = 2×2=4pieces

third time=4×2=8 pieces

.....

10 times =

2,4,8,16,32,64,128,256,512,1024

so there are 1024 pieces of paper.

area of each piece of paper = total area of the paper / 1024.

Answer 2

Answer:

Concept: squaring and the dividing to find the answer.

GIVEN: A piece of paper is cut in half. Each half is again cut in half. If this process is repeated 10 times

TO FIND: what will be the area of each piece of paper

Step-by-step explanation:

when the piece of paper was cut in half , it made 2 pieces

and the repetition of cutting was done 10 times.

so we can say , the total pieces are $2^{10}$ which is 1024.

so the area of each piece of paper = total area of paper/1024.

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