Question

The side of a square are 8 cm infinite square are made by joining the mid points of the side of the square .The area of the square

Answer 1

Area of infinite no. of square are made by joining the mid points of the side of the square is 128 sq.cm.

Step-by-step explanation:

Area of square = $side^2$

Side = 8 cm

Area of square = $8^2=64 cm^2$

We are supposed to find the area of infinite no. of square are made by joining the mid points of the side of the square.

The square made from the mid points of another square has area half of that square

So,this infinite no. of case forms GP with r = 1/2

Sum of infinite terms = $\frac{a}{1-r}$

a = first term = 64 sq.cm.

So, area of infinite no. of square are made by joining the mid points of the side of the square=  $\frac{64}{1-\frac{1}{2}}=128 cm^2$

Hence  area of infinite no. of square are made by joining the mid points of the side of the square is 128 sq.cm

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