The side of a square is 5 cm. If the side is doubled, by how many times will the area of the square increase?
Answer & explanation
Correct answer: option 1
We know that,
Area of Square = Side2
We have,
Side of square = 5 cm
= Area of Square = 52 = 25 cm2
= When the side is doubled,
= Side of a square = 2 × 5 = 10 cm
= Now, Area of Square = 102 = 100 cm2
The area of the square increases = 100 – 25 = 75 cm2
Number of times the area of the square increases = 25 × 3
= 3 times