Question

The area of a particular square is $25$. A new square is formed by doubling the length of each side of the original square. Find the area of the new square.

• A. $24$
• B. $75$
• C. $50$
• D. $100$
• E. $25$

Answer 1

The correct option is D $100$

Given Area of a particular square is $25$
We know formula for area of a square is ${\left(side\right)}^2$
${\left(side\right)}^2=25$
$side=\sqrt{25}=5$
New square is formed by doubling the length of previous square, so new length will be $5\times 2=10$.
Area of new square will be ${\left(side\right)}^2={10}^2=100$