11. If the measurements of sides of a square are doubles, what happens to the area?
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Answer:
the area the area increases by 4
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If measurement of sides of a square is doubled. Then, Area of square will becomes 4 times.
For example:-
If the side of square is 4 cm.
Area of square = Side × Side = (Side)²
Area = (4)²
Area = 16 cm²
If we double the measurement of side means 2 × 4 = 8 cm.
Now, Area will be (8)² = 64 cm².
Verification:-
First area is 16 if we 4 times 16.
4×16 = 64 cm².
Then, Area will be 64 cm².
Hence, Verified.
Therefore, If we double sides of square then , Area will become 4 times.
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