Calculate Area: Square with Sides 5 Units Longer

Given a square whose sides are 5. We draw another square whose sides are longer by 5 than the length of the sides of the previous square. Find the area of the new square.

To solve this problem, let's follow these steps:

• Step 1: Determine the side length of the new square.
• Step 2: Calculate the area of the new square using the area formula for a square.

Now, let's work through the solution:

Step 1: Calculate the side length of the new square.

The side length of the original square is 5 units. The problem states that the side of the new square is longer by 5 units than the original square. Therefore, the side length of the new square is:

$\text{New Side Length} = 5 + 5 = 10 \text{ units}$

Step 2: Calculate the area of the new square.

To find the area of the new square, we use the formula for the area of a square, which is the side length squared:

$\text{Area of the New Square} = (\text{Side Length})^2 = 10^2 = 100 \text{ square units}$

Therefore, the area of the new square is 100 square units.

Thus, the correct answer is option 3: 100.