Calculate Area: Square with Sides 5 Units Longer

Question

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.

Video Solution

Solution Steps

00:00 Find the area of the new square

00:03 The given square's side length

00:06 The new square's side is 5 times larger than the given one

00:10 Let's calculate the side length of the new square

00:14 We'll use the formula for square area (side squared)

00:18 We'll substitute appropriate values and solve for the area

00:22 And this is the solution to the problem

Step-by-Step Solution

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.

Answer

100

Related Subjects

Powers Area of a square Area Exponents and Exponent rules Basis of a power The exponent of a power Square Exponents and Roots - Basic

Question Types

Area of the Square: Increasing a specific element by addition of.....or multiplication by....... Powers: Using area