Given the side of a square as 5 units, find its area. If the area of the square increases 16
times, by how many times will its side increase?
Answers
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0
Answer:
5×5=25
25×16=400
400÷25= 16
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1
Question:-
Given the side of a square as 5 units, find its area. If the area of the square increases 16 times, by how many times will its side increase?
Solution:-
Side= 5units
Area = Side × Side
Area = 5 × 5
Area = 25unit²
• Area of the square increases 16,
=> 25unit² + 16 = 41unit²
• How many times will its side increase?
Let side be x
=> Area = Side × Side
=> 41² = x × x
=> 41² = x²
=> 41 = x
Now the new side = 41
• To check how much it is increased=
=> New Side - Old side
=> Side 2 - Side 1
=> 41 - 5
=> 36
∴ The side is increased by 36unit
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