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Answer:
392 sq cm
Step-by-step explanation:
as A , B , C , D are the mid points they divide the side into equal parts i.e 14 cm each
they are 2 methods to do this question
Method 1
Area of triangle PAB = 1 / 2 * base * height
= 1 / 2 * 14 * 14
= 98 cm²
so the area of all the traingles will be equal
so total area of triangles = 392 cm²
total area of bigger square = side * side
= 28 * 28
= 784 cm²
so area of inner square = 784 - 392
= 392 cm²
Method 2
By using the pythagoras theorem
hypo ² = 14² + 14²
hypo ² = 392
hypo = 14√2 cm
this hypo will be side of the square
so area of square = side * side
= 14√2 * 14√2
= 392 cm²
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