Square Area Formula: Determining the Expression for ABCD Square

Question

Look the square below:

AAABBBDDDCCC

Which expression represents its area?

Video Solution

Solution Steps

00:00 Express the area of the square
00:03 Side length according to the given data
00:07 We'll use the formula for calculating the area of a square (side squared)
00:15 We'll substitute appropriate values and solve to find the area
00:25 Note to square both numerator and denominator
00:28 And this is the solution to the question

Step-by-Step Solution

The area of a square is equal to the value of one of its sides squared.

Below is the formula for the area of a square:

S=a2 S=a^2

Let's therefore insert the known data into the formula as follows:

S=x2y2 S=\frac{x^2}{y^2}

Answer

x2y2 \frac{x^2}{y^2}