The area of a square ABCD is 100 cm². Find the area of the square joining the mid-points of the
sides
(a) 44 cm
(b) 54 cm
(c) 40 cm
(d) 50 cm?
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Answer:
The length of the side of a square= √16=4 cm
The diagonal length= √(4²+4²)= 4√2cm.
By mid point theorem the side made by joining the midpoints of the square = 1/2 of diagonal
Therefore side of small square = 4√2 /2 = 2√2cm
The area of the small square = 2√2 × 2√2 =4×2= 8cm².
I hope my answer is Helpful.
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